\(11^4\cdot11^2\) के बराबर कौन सा है?
Which is equal to \(11^4\cdot11^2\)?
#polynomials
#same base
#exponents
A \(11^6\)
B \(11^8\)
C \(22^6\)
D \(11^2\)
Explanation opens after your attempt
Correct Answer
A. \(11^6\)
Step 1
Concept
For the same base (11), exponents (4) and (2) are added. So the answer is \(11^6\).
Step 2
Why this answer is correct
The correct answer is A. \(11^6\). For the same base (11), exponents (4) and (2) are added. So the answer is \(11^6\).
Step 3
Exam Tip
समान आधार (11) में घातें (4) और (2) जुड़ती हैं। इसलिए उत्तर \(11^6\) है।
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(\left\(\frac{5}{6}\right\)2 ) का मान क्या है?
What is the value of (\left\(\frac{5}{6}\right\)2 )?
#polynomials
#fraction power
#exponents
A \(\frac{10}{12}\)
B \(\frac{25}{36}\)
C \(\frac{5}{36}\)
D \(\frac{25}{6}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{25}{36}\)
Step 1
Concept
The power of a fraction applies to both numerator and denominator. Therefore (\left\(\frac{5}{6}\right\)2 =\frac{25}{36}).
Step 2
Why this answer is correct
The correct answer is B. \(\frac{25}{36}\). The power of a fraction applies to both numerator and denominator. Therefore (\left\(\frac{5}{6}\right\)2 =\frac{25}{36}).
Step 3
Exam Tip
भिन्न की घात अंश और हर दोनों पर लगती है। इसलिए (\left\(\frac{5}{6}\right\)2 =\frac{25}{36}) है।
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(\(3\cdot4\)2 ) का सही रूप क्या है?
What is the correct form of (\(3\cdot4\)2 )?
#polynomials
#exponents
#product power
A \(3^2\cdot4^2\)
B \(3^2\cdot4\)
C \(3\cdot4^2\)
D \(7^2\)
Explanation opens after your attempt
Correct Answer
A. \(3^2\cdot4^2\)
Step 1
Concept
The power of a product applies to every factor, so (\(3\cdot4\)2 =32 \cdot42 ). Apply the exponent to all factors inside the bracket.
Step 2
Why this answer is correct
The correct answer is A. \(3^2\cdot4^2\). The power of a product applies to every factor, so (\(3\cdot4\)2 =32 \cdot42 ). Apply the exponent to all factors inside the bracket.
Step 3
Exam Tip
गुणनफल की घात हर गुणक पर लगती है इसलिए (\(3\cdot4\)2 =32 \cdot42 )। कोष्ठक के सभी गुणकों पर घात लगाएँ।
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(\(4^3\)2 ) का सरल रूप क्या है?
What is the simplified form of (\(4^3\)2 )?
#polynomials
#exponents
#power of power
A \(4^5\)
B \(4^6\)
C \(4^9\)
D \(16^3\)
Explanation opens after your attempt
Correct Answer
B. \(4^6\)
Step 1
Concept
In a power of a power, exponents are multiplied, so (\(4^3\)2 =46 ). Adding exponents here would be wrong.
Step 2
Why this answer is correct
The correct answer is B. \(4^6\). In a power of a power, exponents are multiplied, so (\(4^3\)2 =46 ). Adding exponents here would be wrong.
Step 3
Exam Tip
घात की घात में घातों का गुणा होता है इसलिए (\(4^3\)2 =46 )। यहाँ घातों को जोड़ना गलती होगी।
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\(\frac{8^7}{8^4}\) का सरल रूप क्या है?
What is the simplified form of \(\frac{8^7}{8^4}\)?
#polynomials
#exponents
#quotient law
A \(8^{11}\)
B \(8^3\)
C \(8^{28}\)
D \(1^3\)
Explanation opens after your attempt
Correct Answer
B. \(8^3\)
Step 1
Concept
When the base is the same, exponents are subtracted, so \(\frac{8^7}{8^4}=8^3\). Subtract exponents for same-base division.
Step 2
Why this answer is correct
The correct answer is B. \(8^3\). When the base is the same, exponents are subtracted, so \(\frac{8^7}{8^4}=8^3\). Subtract exponents for same-base division.
Step 3
Exam Tip
समान आधार में भाग करने पर घातें घटती हैं इसलिए \(\frac{8^7}{8^4}=8^3\)। भाग में आधार समान हो तो घात घटाएँ।
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\(3^2\cdot3^5\) का सरल रूप क्या है?
What is the simplified form of \(3^2\cdot3^5\)?
#polynomials
#exponents
#product law
A \(3^7\)
B \(3^{10}\)
C \(6^7\)
D \(3^3\)
Explanation opens after your attempt
Correct Answer
A. \(3^7\)
Step 1
Concept
When the base is the same, exponents are added, so \(3^2\cdot3^5=3^7\). Add exponents when bases are equal.
Step 2
Why this answer is correct
The correct answer is A. \(3^7\). When the base is the same, exponents are added, so \(3^2\cdot3^5=3^7\). Add exponents when bases are equal.
Step 3
Exam Tip
समान आधार में गुणा करने पर घातें जुड़ती हैं इसलिए \(3^2\cdot3^5=3^7\)। आधार समान हो तो घात जोड़ें।
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(\(5^2\cdot5^3\)\div54 ) का सरल रूप क्या है?
What is the simplified form of (\(5^2\cdot5^3\)\div54 )?
#polynomials
#exponents
#mixed operations
A \(5^1\)
B \(5^5\)
C \(5^9\)
D \(5^{-1}\)
Explanation opens after your attempt
Correct Answer
A. \(5^1\)
Step 1
Concept
For the same base, first add exponents (2+3=5), then subtract (5-4=1). So the simplified form is \(5^1\).
Step 2
Why this answer is correct
The correct answer is A. \(5^1\). For the same base, first add exponents (2+3=5), then subtract (5-4=1). So the simplified form is \(5^1\).
Step 3
Exam Tip
समान आधार में पहले घातें (2+3=5) जुड़ती हैं और फिर (5-4=1) बचता है। इसलिए सरल रूप \(5^1\) है।
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\(2^3\cdot2^0\cdot2^2\) का सरल रूप क्या है?
What is the simplified form of \(2^3\cdot2^0\cdot2^2\)?
#polynomials
#exponents
#mixed law
A \(2^5\)
B \(2^6\)
C \(2^0\)
D \(2^1\)
Explanation opens after your attempt
Correct Answer
A. \(2^5\)
Step 1
Concept
For the same base, the exponents add as (3+0+2=5). Hence the simplified form is \(2^5\).
Step 2
Why this answer is correct
The correct answer is A. \(2^5\). For the same base, the exponents add as (3+0+2=5). Hence the simplified form is \(2^5\).
Step 3
Exam Tip
समान आधार में घातें (3+0+2=5) जुड़ती हैं। इसलिए सरल रूप \(2^5\) है।
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\(18a^5\div6a^2\) का सरल रूप क्या है यदि \(a\neq0\)?
What is the simplified form of \(18a^5\div6a^2\) if \(a\neq0\)?
#polynomials
#monomial division
#exponents
A \(3a^3\)
B \(12a^3\)
C \(3a^7\)
D \(108a^3\)
Explanation opens after your attempt
Correct Answer
A. \(3a^3\)
Step 1
Concept
\(\frac{18}{6}=3\) and \(\frac{a^5}{a^2}=a^3\). Therefore the answer is \(3a^3\).
Step 2
Why this answer is correct
The correct answer is A. \(3a^3\). \(\frac{18}{6}=3\) and \(\frac{a^5}{a^2}=a^3\). Therefore the answer is \(3a^3\).
Step 3
Exam Tip
\(\frac{18}{6}=3\) और \(\frac{a^5}{a^2}=a^3\) है। इसलिए उत्तर \(3a^3\) है।
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\(3x^2\cdot2x\) का गुणनफल क्या है?
What is the product of \(3x^2\cdot2x\)?
#polynomials
#monomial multiplication
#exponents
A \(5x^3\)
B \(6x^2\)
C \(6x^3\)
D (6x)
Explanation opens after your attempt
Correct Answer
C. \(6x^3\)
Step 1
Concept
The coefficients give \(3\cdot2=6\), and \(x^2\cdot x=x^3\). So the product is \(6x^3\).
Step 2
Why this answer is correct
The correct answer is C. \(6x^3\). The coefficients give \(3\cdot2=6\), and \(x^2\cdot x=x^3\). So the product is \(6x^3\).
Step 3
Exam Tip
गुणांक \(3\cdot2=6\) और \(x^2\cdot x=x^3\) है। इसलिए गुणनफल \(6x^3\) है।
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\(4x^2+3x^2\) का सरल रूप क्या है?
What is the simplified form of \(4x^2+3x^2\)?
#polynomials
#like terms
#exponents
A \(7x^2\)
B \(7x^4\)
C \(12x^2\)
D \(x^2\)
Explanation opens after your attempt
Correct Answer
A. \(7x^2\)
Step 1
Concept
These are like terms, so the coefficients (4+3=7) are added. The exponent (2) remains the same.
Step 2
Why this answer is correct
The correct answer is A. \(7x^2\). These are like terms, so the coefficients (4+3=7) are added. The exponent (2) remains the same.
Step 3
Exam Tip
ये समान पद हैं इसलिए गुणांक (4+3=7) जोड़े जाते हैं। घात (2) वही रहती है।
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\(2+3^2\cdot2\) का मान क्या है?
What is the value of \(2+3^2\cdot2\)?
#polynomials
#order of operations
#exponents
A (20)
B (22)
C (100)
D (18)
Explanation opens after your attempt
Step 1
Concept
First \(3^2=9\), then \(9\cdot2=18\), and (2+18=20). Exponents are evaluated before multiplication.
Step 2
Why this answer is correct
The correct answer is A. (20). First \(3^2=9\), then \(9\cdot2=18\), and (2+18=20). Exponents are evaluated before multiplication.
Step 3
Exam Tip
पहले \(3^2=9\), फिर \(9\cdot2=18\), और (2+18=20)। घात का काम गुणा से पहले करें।
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\(2^3+2^4\) का मान क्या है?
What is the value of \(2^3+2^4\)?
#polynomials
#exponents
#common mistake
A \(2^7\)
B (24)
C (16)
D (32)
Explanation opens after your attempt
Step 1
Concept
This is addition, so exponents are not added. \(2^3+2^4=8+16=24\).
Step 2
Why this answer is correct
The correct answer is B. (24). This is addition, so exponents are not added. \(2^3+2^4=8+16=24\).
Step 3
Exam Tip
यहाँ योग है इसलिए घातें नहीं जुड़ेंगी। \(2^3+2^4=8+16=24\) है।
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\(\frac{15x^4}{5x^2}\) का सरल रूप क्या है यदि \(x\neq0\)?
What is the simplified form of \(\frac{15x^4}{5x^2}\) if \(x\neq0\)?
#polynomials
#monomial division
#exponents
A \(3x^2\)
B \(10x^2\)
C \(3x^6\)
D \(75x^2\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2\)
Step 1
Concept
The coefficient part is \(\frac{15}{5}=3\) and the variable part is \(\frac{x^4}{x^2}=x^2\). Thus the simplified form is \(3x^2\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^2\). The coefficient part is \(\frac{15}{5}=3\) and the variable part is \(\frac{x^4}{x^2}=x^2\). Thus the simplified form is \(3x^2\).
Step 3
Exam Tip
गुणांक \(\frac{15}{5}=3\) और चर भाग \(\frac{x^4}{x^2}=x^2\) है। इसलिए सरल रूप \(3x^2\) है।
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\(4x\cdot3x^2\) का गुणनफल क्या है?
What is the product of \(4x\cdot3x^2\)?
#polynomials
#monomial multiplication
#exponents
A \(7x^3\)
B \(12x^2\)
C \(12x^3\)
D \(12x^4\)
Explanation opens after your attempt
Correct Answer
C. \(12x^3\)
Step 1
Concept
First multiply coefficients \(4\cdot3=12\), then \(x\cdot x^2=x^3\). Therefore the answer is \(12x^3\).
Step 2
Why this answer is correct
The correct answer is C. \(12x^3\). First multiply coefficients \(4\cdot3=12\), then \(x\cdot x^2=x^3\). Therefore the answer is \(12x^3\).
Step 3
Exam Tip
पहले गुणांक \(4\cdot3=12\) और फिर \(x\cdot x^2=x^3\) करें। इसलिए उत्तर \(12x^3\) है।
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(\(p^3\)2 ) का सरल रूप क्या है?
What is the simplified form of (\(p^3\)2 )?
#polynomials
#exponents
#algebraic power
A \(p^5\)
B \(p^6\)
C \(p^9\)
D (p)
Explanation opens after your attempt
Correct Answer
B. \(p^6\)
Step 1
Concept
In a power of a power, \(3\cdot2=6\). Hence (\(p^3\)2 =p-6 ).
Step 2
Why this answer is correct
The correct answer is B. \(p^6\). In a power of a power, \(3\cdot2=6\). Hence (\(p^3\)2 =p-6 ).
Step 3
Exam Tip
घात की घात में \(3\cdot2=6\) होता है। इसलिए (\(p^3\)2 =p-6 ) है।
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\(x^2\cdot x^5\) का सरल रूप क्या है?
What is the simplified form of \(x^2\cdot x^5\)?
#polynomials
#algebraic terms
#exponents
A \(x^7\)
B \(x^{10}\)
C \(2x^5\)
D \(x^3\)
Explanation opens after your attempt
Correct Answer
A. \(x^7\)
Step 1
Concept
For the same base (x), exponents are added, so \(x^2\cdot x^5=x^7\). The same law works for algebraic terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^7\). For the same base (x), exponents are added, so \(x^2\cdot x^5=x^7\). The same law works for algebraic terms.
Step 3
Exam Tip
समान आधार (x) में घातें जुड़ती हैं इसलिए \(x^2\cdot x^5=x^7\)। बीजगणितीय पदों में भी वही नियम लागू होता है।
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\(\frac{8^4}{4^4}\) का सरल रूप क्या है?
What is the simplified form of \(\frac{8^4}{4^4}\)?
#polynomials
#exponents
#quotient same power
A \(2^4\)
B \(4^0\)
C \(12^4\)
D \(8^0\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\)
Step 1
Concept
With equal exponents, (\frac{84 }{44 }=\left\(\frac{8}{4}\right\)4 =24 ). Handling equal powers together is easier.
Step 2
Why this answer is correct
The correct answer is A. \(2^4\). With equal exponents, (\frac{84 }{44 }=\left\(\frac{8}{4}\right\)4 =24 ). Handling equal powers together is easier.
Step 3
Exam Tip
समान घात होने पर (\frac{84 }{44 }=\left\(\frac{8}{4}\right\)4 =24 )। समान घात को एक साथ संभालना आसान है।
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\(2^3\cdot3^3\) का सही संक्षिप्त रूप क्या है?
What is the correct compact form of \(2^3\cdot3^3\)?
#polynomials
#exponents
#same exponent
A \(5^3\)
B \(6^3\)
C \(6^6\)
D \(2^6\)
Explanation opens after your attempt
Correct Answer
B. \(6^3\)
Step 1
Concept
When exponents are the same, bases can be multiplied, so (23 \cdot33 =\(2\cdot3\)3 =63 ). This rule applies for equal exponents.
Step 2
Why this answer is correct
The correct answer is B. \(6^3\). When exponents are the same, bases can be multiplied, so (23 \cdot33 =\(2\cdot3\)3 =63 ). This rule applies for equal exponents.
Step 3
Exam Tip
समान घात होने पर आधारों का गुणन किया जा सकता है इसलिए (23 \cdot33 =\(2\cdot3\)3 =63 )। यह नियम समान घात पर लागू होता है।
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(\left\(\frac{x}{y}\right\)3 ) का सही रूप क्या है यदि \(y\neq0\)?
What is the correct form of (\left\(\frac{x}{y}\right\)3 ) if \(y\neq0\)?
#polynomials
#exponents
#fraction law
A \(\frac{x^3}{y^3}\)
B \(\frac{x^3}{y}\)
C \(\frac{x}{y^3}\)
D \(\frac{x+y}{3}\)
Explanation opens after your attempt
Correct Answer
A. \(\frac{x^3}{y^3}\)
Step 1
Concept
The exponent of a fraction applies to both numerator and denominator. Hence (\left\(\frac{x}{y}\right\)3 =\frac{x-3 }{y-3 }).
Step 2
Why this answer is correct
The correct answer is A. \(\frac{x^3}{y^3}\). The exponent of a fraction applies to both numerator and denominator. Hence (\left\(\frac{x}{y}\right\)3 =\frac{x-3 }{y-3 }).
Step 3
Exam Tip
भिन्न की घात अंश और हर दोनों पर लगती है। इसलिए (\left\(\frac{x}{y}\right\)3 =\frac{x-3 }{y-3 }) है।
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((xy)4 ) का सही विस्तार कौन सा है?
Which is the correct expansion of ((xy)4 )?
#polynomials
#exponents
#algebraic expression
A \(x^4y^4\)
B \(xy^4\)
C \(x^4y\)
D \(x^4+y^4\)
Explanation opens after your attempt
Correct Answer
A. \(x^4y^4\)
Step 1
Concept
The power of a product applies to each factor, so ((xy)4 =x-4 y-4 ). Rules for sums and products are different.
Step 2
Why this answer is correct
The correct answer is A. \(x^4y^4\). The power of a product applies to each factor, so ((xy)4 =x-4 y-4 ). Rules for sums and products are different.
Step 3
Exam Tip
गुणनफल की घात हर गुणक पर लगती है इसलिए ((xy)4 =x-4 y-4 )। योग और गुणनफल के नियम अलग होते हैं।
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\(6^0+2^3\) का मान क्या है?
What is the value of \(6^0+2^3\)?
#polynomials
#real numbers
#exponents
A (8)
B (9)
C (10)
D (14)
Explanation opens after your attempt
Step 1
Concept
Here \(6^0=1\) and \(2^3=8\). Therefore the sum is (1+8=9).
Step 2
Why this answer is correct
The correct answer is B. (9). Here \(6^0=1\) and \(2^3=8\). Therefore the sum is (1+8=9).
Step 3
Exam Tip
यहाँ \(6^0=1\) और \(2^3=8\) है। इसलिए योग (1+8=9) है।
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\(4^1\) का मान क्या है?
What is the value of \(4^1\)?
#polynomials
#exponents
#first power
A (0)
B (1)
C (4)
D (16)
Explanation opens after your attempt
Step 1
Concept
The first power of a number is the number itself, so \(4^1=4\). Do not confuse exponent (1) with exponent (0).
Step 2
Why this answer is correct
The correct answer is C. (4). The first power of a number is the number itself, so \(4^1=4\). Do not confuse exponent (1) with exponent (0).
Step 3
Exam Tip
किसी संख्या की (1) घात वही संख्या देती है इसलिए \(4^1=4\)। घात (1) को अनदेखा न करें।
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\(9^5\div9^3\) का सरल रूप क्या है?
What is the simplified form of \(9^5\div9^3\)?
#polynomials
#exponents
#division law
A \(9^2\)
B \(9^8\)
C \(1^2\)
D \(9^{15}\)
Explanation opens after your attempt
Correct Answer
A. \(9^2\)
Step 1
Concept
For division with the same base, exponents are subtracted, so \(9^5\div9^3=9^{5-3}=9^2\). Identify the law before calculating.
Step 2
Why this answer is correct
The correct answer is A. \(9^2\). For division with the same base, exponents are subtracted, so \(9^5\div9^3=9^{5-3}=9^2\). Identify the law before calculating.
Step 3
Exam Tip
भाग में समान आधार होने पर घातें घटती हैं इसलिए \(9^5\div9^3=9^{5-3}=9^2\)। पहले नियम पहचानें फिर गणना करें।
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निम्न में से कौन सा \(7^2\cdot7^3\) के बराबर है?
Which of the following is equal to \(7^2\cdot7^3\)?
#polynomials
#exponents
#same base
A \(7^5\)
B \(7^6\)
C \(14^5\)
D \(49^3\)
Explanation opens after your attempt
Correct Answer
A. \(7^5\)
Step 1
Concept
For the same base (7), the exponents (2) and (3) are added. Hence the correct form is \(7^5\).
Step 2
Why this answer is correct
The correct answer is A. \(7^5\). For the same base (7), the exponents (2) and (3) are added. Hence the correct form is \(7^5\).
Step 3
Exam Tip
समान आधार (7) में घातें (2) और (3) जुड़ेंगी। इसलिए सही रूप \(7^5\) है।
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(\left\(\frac{3}{4}\right\)2 ) का मान क्या है?
What is the value of (\left\(\frac{3}{4}\right\)2 )?
#polynomials
#exponents
#fraction power
A \(\frac{6}{8}\)
B \(\frac{9}{16}\)
C \(\frac{3}{16}\)
D \(\frac{9}{4}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{9}{16}\)
Step 1
Concept
The power of a fraction applies to both numerator and denominator, so (\left\(\frac{3}{4}\right\)2 =\frac{32 }{42 }=\frac{9}{16}). Do not square only the numerator.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{9}{16}\). The power of a fraction applies to both numerator and denominator, so (\left\(\frac{3}{4}\right\)2 =\frac{32 }{42 }=\frac{9}{16}). Do not square only the numerator.
Step 3
Exam Tip
भिन्न की घात अंश और हर दोनों पर लगती है इसलिए (\left\(\frac{3}{4}\right\)2 =\frac{32 }{42 }=\frac{9}{16})। केवल अंश का वर्ग न करें।
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(\(2\cdot5\)3 ) का सरल रूप क्या है?
What is the simplified form of (\(2\cdot5\)3 )?
#polynomials
#exponents
#product power
A \(2^3\cdot5^3\)
B \(2^3\cdot5\)
C \(2\cdot5^3\)
D \(2^8\)
Explanation opens after your attempt
Correct Answer
A. \(2^3\cdot5^3\)
Step 1
Concept
The power of a product applies to both factors, so (\(2\cdot5\)3 =23 \cdot53 ). Apply the outside exponent to every factor inside the bracket.
Step 2
Why this answer is correct
The correct answer is A. \(2^3\cdot5^3\). The power of a product applies to both factors, so (\(2\cdot5\)3 =23 \cdot53 ). Apply the outside exponent to every factor inside the bracket.
Step 3
Exam Tip
गुणनफल की घात दोनों गुणकों पर लगती है इसलिए (\(2\cdot5\)3 =23 \cdot53 )। ब्रैकेट की घात हर गुणक पर लगाएँ।
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\(10^{-2}\) का मान किसके बराबर है?
What is \(10^{-2}\) equal to?
#polynomials
#exponents
#negative exponent
A (100)
B \(\frac{1}{100}\)
C (-100)
D \(\frac{1}{10}\)
Explanation opens after your attempt
Correct Answer
B. \(\frac{1}{100}\)
Step 1
Concept
A negative exponent moves the number to the denominator, so \(10^{-2}=\frac{1}{10^2}=\frac{1}{100}\). A negative exponent does not mean a negative value.
Step 2
Why this answer is correct
The correct answer is B. \(\frac{1}{100}\). A negative exponent moves the number to the denominator, so \(10^{-2}=\frac{1}{10^2}=\frac{1}{100}\). A negative exponent does not mean a negative value.
Step 3
Exam Tip
ऋणात्मक घात में संख्या हर में चली जाती है इसलिए \(10^{-2}=\frac{1}{10^2}=\frac{1}{100}\)। ऋणात्मक घात का अर्थ ऋणात्मक मान नहीं होता।
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यदि \(a\neq0\) है तो \(a^0\) का मान क्या होता है?
If \(a\neq0\), what is the value of \(a^0\)?
#polynomials
#exponents
#zero exponent
A (0)
B (1)
C (a)
D (-a)
Explanation opens after your attempt
Step 1
Concept
The zero power of any non-zero number is (1). Remember that \(0^0\) is not considered here.
Step 2
Why this answer is correct
The correct answer is B. (1). The zero power of any non-zero number is (1). Remember that \(0^0\) is not considered here.
Step 3
Exam Tip
किसी भी अशून्य संख्या की शून्य घात (1) होती है। ध्यान रखें कि \(0^0\) को यहाँ नहीं लेते।
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(\(3^2\)4 ) का सरल रूप क्या है?
What is the simplified form of (\(3^2\)4 )?
#polynomials
#exponents
#power law
A \(3^6\)
B \(3^8\)
C \(3^{16}\)
D \(9^4\)
Explanation opens after your attempt
Correct Answer
B. \(3^8\)
Step 1
Concept
In a power of a power, exponents are multiplied, so (\(3^2\)4 =3^{2\cdot4}=38 ). Adding the exponents here is a common mistake.
Step 2
Why this answer is correct
The correct answer is B. \(3^8\). In a power of a power, exponents are multiplied, so (\(3^2\)4 =3^{2\cdot4}=38 ). Adding the exponents here is a common mistake.
Step 3
Exam Tip
घात की घात में घातों का गुणा होता है इसलिए (\(3^2\)4 =3^{2\cdot4}=38 )। ऐसी स्थिति में घातों को जोड़ना सामान्य गलती है।
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