घातांकों के नियम के अनुसार \(a^3 \times a^4\) का मान क्या है
According to laws of exponents what is \(a^3 \times a^4\)
#exponents_number_systems
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A \(a^7\)
B \(a^{12}\)
C \(a^1\)
D \(a^0\)
Explanation opens after your attempt
Correct Answer
A. \(a^7\)
Step 1
Concept
Exponents are added when base is same remember this rule for exams
Step 2
Why this answer is correct
The correct answer is A. \(a^7\). Exponents are added when base is same remember this rule for exams
Step 3
Exam Tip
घातांक जोड़ दिए जाते हैं जब आधार समान हो परीक्षा में यह नियम याद रखें
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यदि \(a^x \cdot a^y = a^{12}\) और (x-y=2) है, तो (x) और (y) का मान क्या होगा?
If \(a^x \cdot a^y = a^{12}\) and (x-y=2), then what are the values of (x) and (y)?
#exponents
#linear_equations
#number_system
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A (x=7, y=5)
B (x=8, y=4)
C (x=9, y=3)
D (x=10, y=2)
Explanation opens after your attempt
Correct Answer
A. (x=7, y=5)
Step 1
Concept
Using exponent rules we get (x+y=12) and (x-y=2), solving gives (x=7, y=5). Form equations and solve for quick exam accuracy.
Step 2
Why this answer is correct
The correct answer is A. (x=7, y=5). Using exponent rules we get (x+y=12) and (x-y=2), solving gives (x=7, y=5). Form equations and solve for quick exam accuracy.
Step 3
Exam Tip
घातांकों के नियम से (x+y=12) और (x-y=2) हल करने पर (x=7, y=5) मिलता है। परीक्षा में दो समीकरण बनाकर हल करना आसान तरीका है।
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\(x^5 \times x^2\) का सरल रूप क्या होगा
What is simplified form of \(x^5 \times x^2\)
#exponents_number_systems
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A \(x^7\)
B \(x^{10}\)
C \(x^3\)
D \(x^1\)
Explanation opens after your attempt
Correct Answer
A. \(x^7\)
Step 1
Concept
Add exponents when base is same this is a key rule
Step 2
Why this answer is correct
The correct answer is A. \(x^7\). Add exponents when base is same this is a key rule
Step 3
Exam Tip
समान आधार होने पर घात जोड़ते हैं यह सरल नियम है
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(\(a^2\)3 ) का मान क्या होगा
What is value of (\(a^2\)3 )
#exponents_number_systems
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A \(a^6\)
B \(a^5\)
C \(a^9\)
D \(a^8\)
Explanation opens after your attempt
Correct Answer
A. \(a^6\)
Step 1
Concept
Multiply exponents when power is raised to power
Step 2
Why this answer is correct
The correct answer is A. \(a^6\). Multiply exponents when power is raised to power
Step 3
Exam Tip
घात का घात होने पर गुणा किया जाता है
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\(2^3 \times 2^4\) का परिणाम क्या है
What is result of \(2^3 \times 2^4\)
#exponents_number_systems
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A \(2^7\)
B \(2^{12}\)
C \(2^1\)
D \(2^0\)
Explanation opens after your attempt
Correct Answer
A. \(2^7\)
Step 1
Concept
Add exponents for same base multiplication
Step 2
Why this answer is correct
The correct answer is A. \(2^7\). Add exponents for same base multiplication
Step 3
Exam Tip
एक ही आधार के घात जोड़ दिए जाते हैं
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\(\frac{a^6}{a^2}\) का सरल रूप क्या है
What is simplified form of \(\frac{a^6}{a^2}\)
#exponents_number_systems
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A \(a^4\)
B \(a^8\)
C \(a^3\)
D \(a^2\)
Explanation opens after your attempt
Correct Answer
A. \(a^4\)
Step 1
Concept
Subtract exponents when dividing same base
Step 2
Why this answer is correct
The correct answer is A. \(a^4\). Subtract exponents when dividing same base
Step 3
Exam Tip
भाग में घात घटाए जाते हैं
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\(\frac{x^8}{x^5}\) का मान क्या होगा
What is value of \(\frac{x^8}{x^5}\)
#exponents_number_systems
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A \(x^3\)
B \(x^{13}\)
C \(x^2\)
D \(x^1\)
Explanation opens after your attempt
Correct Answer
A. \(x^3\)
Step 1
Concept
Apply subtraction rule of exponents
Step 2
Why this answer is correct
The correct answer is A. \(x^3\). Apply subtraction rule of exponents
Step 3
Exam Tip
घात घटाने का नियम लागू होता है
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\(a^0\) का मान क्या होता है
What is value of \(a^0\)
#exponents_number_systems
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A 1
B 0
C a
D -1
Explanation opens after your attempt
Step 1
Concept
Any non zero number to power zero is one
Step 2
Why this answer is correct
The correct answer is A. 1. Any non zero number to power zero is one
Step 3
Exam Tip
कोई भी शून्य घात पर 1 होता है
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(\(x^3\)2 ) का मान क्या होगा
What is value of (\(x^3\)2 )
#exponents_number_systems
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A \(x^6\)
B \(x^5\)
C \(x^9\)
D \(x^3\)
Explanation opens after your attempt
Correct Answer
A. \(x^6\)
Step 1
Concept
Multiply exponents when power is raised
Step 2
Why this answer is correct
The correct answer is A. \(x^6\). Multiply exponents when power is raised
Step 3
Exam Tip
घातों का गुणा किया जाता है
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(\(2^2\)3 ) का परिणाम क्या है
What is result of (\(2^2\)3 )
#exponents_number_systems
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A \(2^6\)
B \(2^5\)
C \(2^8\)
D \(2^4\)
Explanation opens after your attempt
Correct Answer
A. \(2^6\)
Step 1
Concept
Power of power rule multiplies exponents
Step 2
Why this answer is correct
The correct answer is A. \(2^6\). Power of power rule multiplies exponents
Step 3
Exam Tip
घात का घात गुणा होता है
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\(3^4 \times 3^1\) का मान क्या है
What is value of \(3^4 \times 3^1\)
#exponents_number_systems
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A \(3^5\)
B \(3^4\)
C \(3^6\)
D \(3^1\)
Explanation opens after your attempt
Correct Answer
A. \(3^5\)
Step 1
Concept
Add exponents for same base multiplication
Step 2
Why this answer is correct
The correct answer is A. \(3^5\). Add exponents for same base multiplication
Step 3
Exam Tip
समान आधार पर घात जोड़ते हैं
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\(\frac{2^7}{2^3}\) का सरल रूप क्या है
What is simplified form of \(\frac{2^7}{2^3}\)
#exponents_number_systems
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A \(2^4\)
B \(2^{10}\)
C \(2^3\)
D \(2^1\)
Explanation opens after your attempt
Correct Answer
A. \(2^4\)
Step 1
Concept
Subtract exponents in division rule
Step 2
Why this answer is correct
The correct answer is A. \(2^4\). Subtract exponents in division rule
Step 3
Exam Tip
भाग में घात घटाए जाते हैं
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\(a^{-2}\) का अर्थ क्या है
What does \(a^{-2}\) mean
#exponents_number_systems
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A \(\frac{1}{a^2}\)
B \(a^2\)
C -a-2
D 1
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{a^2}\)
Step 1
Concept
Negative exponent gives reciprocal
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{a^2}\). Negative exponent gives reciprocal
Step 3
Exam Tip
ऋणात्मक घात व्युत्क्रम देता है
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\(x^{-3}\) का सरल रूप क्या है
What is simplified form of \(x^{-3}\)
#exponents_number_systems
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A \(\frac{1}{x^3}\)
B \(x^3\)
C -x-3
D 1
Explanation opens after your attempt
Correct Answer
A. \(\frac{1}{x^3}\)
Step 1
Concept
Negative exponent becomes reciprocal
Step 2
Why this answer is correct
The correct answer is A. \(\frac{1}{x^3}\). Negative exponent becomes reciprocal
Step 3
Exam Tip
ऋणात्मक घात उल्टा कर देता है
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\(\frac{1}{a^{-4}}\) का मान क्या है
What is value of \(\frac{1}{a^{-4}}\)
#exponents_number_systems
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A \(a^4\)
B \(\frac{1}{a^4}\)
C a
D 1
Explanation opens after your attempt
Correct Answer
A. \(a^4\)
Step 1
Concept
Negative exponent flips fraction
Step 2
Why this answer is correct
The correct answer is A. \(a^4\). Negative exponent flips fraction
Step 3
Exam Tip
ऋणात्मक घात पलट जाता है
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(\(a^{-1}\)3 ) का मान क्या होगा
What is value of (\(a^{-1}\)3 )
#exponents_number_systems
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A \(a^{-3}\)
B \(a^3\)
C \(a^{-2}\)
D 1
Explanation opens after your attempt
Correct Answer
A. \(a^{-3}\)
Step 1
Concept
Multiply exponents in power of power rule
Step 2
Why this answer is correct
The correct answer is A. \(a^{-3}\). Multiply exponents in power of power rule
Step 3
Exam Tip
घात का घात गुणा होता है
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(\(2^{-2}\)2 ) का परिणाम क्या है
What is result of (\(2^{-2}\)2 )
#exponents_number_systems
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A \(2^{-4}\)
B \(2^4\)
C \(2^{-2}\)
D 1
Explanation opens after your attempt
Correct Answer
A. \(2^{-4}\)
Step 1
Concept
Multiply exponents rule applies
Step 2
Why this answer is correct
The correct answer is A. \(2^{-4}\). Multiply exponents rule applies
Step 3
Exam Tip
घात गुणा किया जाता है
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\(\frac{a^3 b^2}{a b}\) का सरल रूप क्या है
What is simplified form of \(\frac{a^3 b^2}{a b}\)
#exponents_number_systems
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A \(a^2 b\)
B \(a^3 b^2\)
C (ab)
D 1
Explanation opens after your attempt
Correct Answer
A. \(a^2 b\)
Step 1
Concept
Subtract exponents for same bases
Step 2
Why this answer is correct
The correct answer is A. \(a^2 b\). Subtract exponents for same bases
Step 3
Exam Tip
समान आधार पर घात घटते हैं
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((ab)2 ) का विस्तार क्या है
What is expansion of ((ab)2 )
#exponents_number_systems
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A \(a^2 b^2\)
B \(ab^2\)
C \(a^2 b\)
D (a+b)
Explanation opens after your attempt
Correct Answer
A. \(a^2 b^2\)
Step 1
Concept
Exponent distributes over multiplication
Step 2
Why this answer is correct
The correct answer is A. \(a^2 b^2\). Exponent distributes over multiplication
Step 3
Exam Tip
गुणन पर घात दोनों पर लागू होता है
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\(2^5 \times 4^2\) का सरल रूप क्या है
What is simplified form of \(2^5 \times 4^2\)
#exponents_number_systems
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A \(2^9\)
B \(2^{10}\)
C \(2^7\)
D \(2^8\)
Explanation opens after your attempt
Correct Answer
B. \(2^{10}\)
Step 1
Concept
Convert base then apply exponent rules
Step 2
Why this answer is correct
The correct answer is B. \(2^{10}\). Convert base then apply exponent rules
Step 3
Exam Tip
4 को 2 की घात में बदलकर जोड़ते हैं
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\(\frac{8^2}{2^4}\) का मान क्या है
What is value of \(\frac{8^2}{2^4}\)
#exponents_number_systems
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A 4
B 2
C 8
D 16
Explanation opens after your attempt
Step 1
Concept
Rewrite bases then simplify exponents
Step 2
Why this answer is correct
The correct answer is A. 4. Rewrite bases then simplify exponents
Step 3
Exam Tip
आधार बदलकर घात सरल किया जाता है
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(\(x^2 y^3\)2 ) का मान क्या है
What is value of (\(x^2 y^3\)2 )
#exponents_number_systems
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A \(x^4 y^6\)
B \(x^2 y^6\)
C \(x^4 y^3\)
D \(xy^5\)
Explanation opens after your attempt
Correct Answer
A. \(x^4 y^6\)
Step 1
Concept
Power distributes over product
Step 2
Why this answer is correct
The correct answer is A. \(x^4 y^6\). Power distributes over product
Step 3
Exam Tip
घात अंदर सभी पदों पर लागू होता है
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\(3^{-1} \times 3^2\) का मान क्या है
What is value of \(3^{-1} \times 3^2\)
#exponents_number_systems
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A 3
B 9
C 1
D 27
Explanation opens after your attempt
Step 1
Concept
Add exponents for same base
Step 2
Why this answer is correct
The correct answer is A. 3. Add exponents for same base
Step 3
Exam Tip
घात जोड़कर सरल किया जाता है
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\(\frac{1}{x^{-2}}\) का सरल रूप क्या है
What is simplified form of \(\frac{1}{x^{-2}}\)
#exponents_number_systems
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A \(x^2\)
B \(\frac{1}{x^2}\)
C \(x^{-2}\)
D 1
Explanation opens after your attempt
Correct Answer
A. \(x^2\)
Step 1
Concept
Negative exponent becomes positive when inverted
Step 2
Why this answer is correct
The correct answer is A. \(x^2\). Negative exponent becomes positive when inverted
Step 3
Exam Tip
ऋणात्मक घात पलट जाता है
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\(a^m \times a^n \times a^p\) का नियम क्या है
What is rule of \(a^m \times a^n \times a^p\)
#exponents_number_systems
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A \(a^{m+n+p}\)
B \(a^{mnp}\)
C \(a^{m-n+p}\)
D \(a^{m+n-p}\)
Explanation opens after your attempt
Correct Answer
A. \(a^{m+n+p}\)
Step 1
Concept
Add all exponents for same base
Step 2
Why this answer is correct
The correct answer is A. \(a^{m+n+p}\). Add all exponents for same base
Step 3
Exam Tip
समान आधार पर सभी घात जोड़ते हैं
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(\(x^0 + x^1\)) का मान क्या है
What is value of (\(x^0 + x^1\))
#exponents_number_systems
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A 1+x
B x
C 1
D x+1+1
Explanation opens after your attempt
Step 1
Concept
Zero exponent rule gives one
Step 2
Why this answer is correct
The correct answer is A. 1+x. Zero exponent rule gives one
Step 3
Exam Tip
\(x^0=1\) होता है
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(\(2^3 \times 5^3\)) का सरल रूप क्या है
What is simplified form of (\(2^3 \times 5^3\))
#exponents_number_systems
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A \(10^3\)
B \(7^3\)
C \(15^3\)
D \(25^3\)
Explanation opens after your attempt
Correct Answer
A. \(10^3\)
Step 1
Concept
Same exponent combines bases
Step 2
Why this answer is correct
The correct answer is A. \(10^3\). Same exponent combines bases
Step 3
Exam Tip
समान घात पर आधार गुणा होता है
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\(\frac{a^2}{b^2}\) का घात नियम क्या दर्शाता है
What does \(\frac{a^2}{b^2}\) represent
#exponents_number_systems
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A (\(\frac{a}{b}\)2 )
B \(a^2-b^2\)
C \(ab^2\)
D (a / b)
Explanation opens after your attempt
Correct Answer
A. (\(\frac{a}{b}\)2 )
Step 1
Concept
Exponent applies to numerator and denominator
Step 2
Why this answer is correct
The correct answer is A. (\(\frac{a}{b}\)2 ). Exponent applies to numerator and denominator
Step 3
Exam Tip
घात दोनों पर समान रूप से लागू होता है
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( (x y z)2 ) का विस्तार क्या है
What is expansion of ( (x y z)2 )
#exponents_number_systems
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A \(x^2 y^2 z^2\)
B \(xyz^2\)
C \(x^2 y z\)
D (xyz)
Explanation opens after your attempt
Correct Answer
A. \(x^2 y^2 z^2\)
Step 1
Concept
Power distributes over all factors
Step 2
Why this answer is correct
The correct answer is A. \(x^2 y^2 z^2\). Power distributes over all factors
Step 3
Exam Tip
घात सभी गुणकों पर लागू होता है
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\(4^{-1} + 2^{-1}\) का मान क्या है
What is value of \(4^{-1} + 2^{-1}\)
#exponents_number_systems
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A \(\frac{3}{4}\)
B \(\frac{1}{8}\)
C \(\frac{1}{2}\)
D 1
Explanation opens after your attempt
Correct Answer
A. \(\frac{3}{4}\)
Step 1
Concept
Convert negative exponents to fractions
Step 2
Why this answer is correct
The correct answer is A. \(\frac{3}{4}\). Convert negative exponents to fractions
Step 3
Exam Tip
ऋणात्मक घात भिन्न बनाते हैं
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(\(a^2 b^{-2}\)) का सरल रूप क्या है
What is simplified form of (\(a^2 b^{-2}\))
#exponents_number_systems
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A \(\frac{a^2}{b^2}\)
B \(\frac{b^2}{a^2}\)
C \(a^2 b^2\)
D (ab)
Explanation opens after your attempt
Correct Answer
A. \(\frac{a^2}{b^2}\)
Step 1
Concept
Negative exponent shifts to denominator
Step 2
Why this answer is correct
The correct answer is A. \(\frac{a^2}{b^2}\). Negative exponent shifts to denominator
Step 3
Exam Tip
ऋणात्मक घात हर में जाता है
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\(\frac{2^{-3}}{2^{-1}}\) का मान क्या है
What is value of \(\frac{2^{-3}}{2^{-1}}\)
#exponents_number_systems
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A \(2^{-2}\)
B \(2^2\)
C \(2^{-4}\)
D 1
Explanation opens after your attempt
Correct Answer
A. \(2^{-2}\)
Step 1
Concept
Subtract exponents in division
Step 2
Why this answer is correct
The correct answer is A. \(2^{-2}\). Subtract exponents in division
Step 3
Exam Tip
घात घटाने का नियम लागू होता है
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( \(x^3\)0 ) का मान क्या है
What is value of ( \(x^3\)0 )
#exponents_number_systems
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A 1
B x
C \(x^3\)
D 0
Explanation opens after your attempt
Step 1
Concept
Any non zero expression to power zero is one
Step 2
Why this answer is correct
The correct answer is A. 1. Any non zero expression to power zero is one
Step 3
Exam Tip
कोई भी गैर शून्य पद शून्य घात पर 1 होता है
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\(\frac{a^m}{a^m}\) का मान क्या है
What is value of \(\frac{a^m}{a^m}\)
#exponents_number_systems
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A 1
B a
C \(a^m\)
D 0
Explanation opens after your attempt
Step 1
Concept
Same exponents cancel out
Step 2
Why this answer is correct
The correct answer is A. 1. Same exponents cancel out
Step 3
Exam Tip
समान घात कट जाते हैं
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