बहुपद \(3x^0+4x^6-9x^2\) की डिग्री क्या है?
What is the degree of \(3x^0+4x^6-9x^2\)?
#polynomial
#zero_power
#degree
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is D. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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बहुपद \(2x^0+9x^5-4x^2\) की डिग्री क्या है?
What is the degree of \(2x^0+9x^5-4x^2\)?
#polynomial
#zero_power
#degree
A (0)
B (2)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). \(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (5) है। इसलिए डिग्री (5) है।
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बहुपद \(x^0+6x^4-3x^2\) की डिग्री क्या है?
What is the degree of \(x^0+6x^4-3x^2\)?
#polynomial
#zero_power
#degree
A (0)
B (2)
C (4)
D (6)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (4). Therefore the degree is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). \(x^0=1\), and the highest power is (4). Therefore the degree is (4).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (4) है। इसलिए डिग्री (4) है।
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बहुपद \(x^0+7x^6-4x^2\) की डिग्री क्या है?
What is the degree of \(x^0+7x^6-4x^2\)?
#polynomial
#zero_power
#degree
A (0)
B (2)
C (6)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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बहुपद \(x^0+4x^5-9x\) की डिग्री क्या है?
What is the degree of \(x^0+4x^5-9x\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). \(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (5) है। इसलिए डिग्री (5) है।
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बहुपद \(x^0+11x^3-6\) की डिग्री क्या है?
What is the degree of \(x^0+11x^3-6\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (3)
D (11)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (3). Therefore the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(x^0=1\), and the highest power is (3). Therefore the degree is (3).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (3) है। इसलिए डिग्री (3) है।
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बहुपद \(x^0+2x^3-8x\) की डिग्री क्या है?
What is the degree of \(x^0+2x^3-8x\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (3)
D (8)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) and the highest power is (3). Therefore the degree is (3).
Step 2
Why this answer is correct
The correct answer is C. (3). \(x^0=1\) and the highest power is (3). Therefore the degree is (3).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (3) है। इसलिए डिग्री (3) है।
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बहुपद \(x^0+9x^2-4\) की डिग्री क्या है?
What is the degree of \(x^0+9x^2-4\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (2)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) and the highest power is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(x^0=1\) and the highest power is (2). Therefore the degree is (2).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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बहुपद \(x^0+5x^2-8\) की डिग्री क्या है?
What is the degree of \(x^0+5x^2-8\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (2)
D (5)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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व्यंजक \(x^0+3x^2-2x\) की डिग्री क्या है?
What is the degree of \(x^0+3x^2-2x\)?
#polynomial
#zero_power
#degree
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 2
Why this answer is correct
The correct answer is C. (2). \(x^0=1\), and the highest power is (2). Therefore the degree is (2).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (2) है। इसलिए डिग्री (2) है।
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\(9x^0+4x\) में \(x^0\) किसके बराबर माना जाता है?
In \(9x^0+4x\), \(x^0\) is considered equal to what?
#definition-polynomial
#zero-power
#constant-term
A (x)
B (0)
C (9)
D (1)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) when \(x\neq0\). So \(9x^0\) acts like a constant term.
Step 2
Why this answer is correct
The correct answer is D. (1). \(x^0=1\) when \(x\neq0\). So \(9x^0\) acts like a constant term.
Step 3
Exam Tip
\(x^0=1\) माना जाता है जब \(x\neq0\)। इसलिए \(9x^0\) स्थिर पद की तरह काम करता है।
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व्यंजक \(x^2+x^{-2}+x^0\) बहुपद है या नहीं?
Is \(x^2+x^{-2}+x^0\) a polynomial or not?
#polynomial
#negative_power
#zero_power
A हां, क्योंकि इसमें \(x^0\) है / Yes, because it has \(x^0\)
B हां, क्योंकि इसमें तीन पद हैं / Yes, because it has three terms
C नहीं, क्योंकि \(x^{-2}\) की घात ऋणात्मक है / No, because \(x^{-2}\) has a negative power
D हां, क्योंकि इसमें \(x^2\) है / Yes, because it has \(x^2\)
Explanation opens after your attempt
Correct Answer
C. नहीं, क्योंकि \(x^{-2}\) की घात ऋणात्मक है / No, because \(x^{-2}\) has a negative power
Step 1
Concept
In \(x^{-2}\), the variable has a negative power. One invalid power makes the expression not a polynomial.
Step 2
Why this answer is correct
The correct answer is C. नहीं, क्योंकि \(x^{-2}\) की घात ऋणात्मक है / No, because \(x^{-2}\) has a negative power. In \(x^{-2}\), the variable has a negative power. One invalid power makes the expression not a polynomial.
Step 3
Exam Tip
\(x^{-2}\) में चर की घात ऋणात्मक है। एक अमान्य घात के कारण व्यंजक बहुपद नहीं होता।
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क्या \(2x^0-3x\) बहुपद है?
Is \(2x^0-3x\) a polynomial?
#polynomial
#zero_power
#definition
A हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
B नहीं, क्योंकि \(x^0\) मान्य नहीं है / No, because \(x^0\) is not valid
C नहीं, क्योंकि इसमें दो पद हैं / No, because it has two terms
D नहीं, क्योंकि इसमें घटाव है / No, because it has subtraction
Explanation opens after your attempt
Correct Answer
A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
Step 1
Concept
The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.
Step 2
Why this answer is correct
The correct answer is A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1). The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.
Step 3
Exam Tip
\(x^0\) की घात (0) है जो बहुपद में मान्य है। इसलिए यह बहुपद है।
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कौन-सा कथन \(x^0+x^{-2}+3\) के लिए सही है?
Which statement is correct for \(x^0+x^{-2}+3\)?
#definition-polynomial
#zero-power
#negative-power
A यह बहुपद है क्योंकि \(x^0\) है / It is a polynomial because it has \(x^0\)
B यह बहुपद नहीं है क्योंकि \(x^{-2}\) है / It is not a polynomial because it has \(x^{-2}\)
C यह स्थिर बहुपद है / It is a constant polynomial
D यह घात (2) का बहुपद है / It is a polynomial of degree (2)
Explanation opens after your attempt
Correct Answer
B. यह बहुपद नहीं है क्योंकि \(x^{-2}\) है / It is not a polynomial because it has \(x^{-2}\)
Step 1
Concept
\(x^0\) is valid, but \(x^{-2}\) is invalid. Negative powers are not allowed in a polynomial.
Step 2
Why this answer is correct
The correct answer is B. यह बहुपद नहीं है क्योंकि \(x^{-2}\) है / It is not a polynomial because it has \(x^{-2}\). \(x^0\) is valid, but \(x^{-2}\) is invalid. Negative powers are not allowed in a polynomial.
Step 3
Exam Tip
\(x^0\) मान्य है, लेकिन \(x^{-2}\) अमान्य है। बहुपद में ऋणात्मक घात स्वीकार्य नहीं होती।
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व्यंजक \(x^6+x^4+x^0\) की डिग्री क्या है?
What is the degree of \(x^6+x^4+x^0\)?
#polynomial
#zero_power
#degree
A (0)
B (4)
C (6)
D (10)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 2
Why this answer is correct
The correct answer is C. (6). \(x^0=1\), and the highest power is (6). Therefore the degree is (6).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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कौन-सा कथन \(x^0+x^{-1}+2\) के बारे में सही है?
Which statement is correct about \(x^0+x^{-1}+2\)?
#definition-polynomial
#negative-power
#zero-power
A यह बहुपद है क्योंकि \(x^0\) है / It is a polynomial because it has \(x^0\)
B यह स्थिर बहुपद है / It is a constant polynomial
C यह बहुपद नहीं है क्योंकि \(x^{-1}\) है / It is not a polynomial because it has \(x^{-1}\)
D यह द्विघात बहुपद है / It is a quadratic polynomial
Explanation opens after your attempt
Correct Answer
C. यह बहुपद नहीं है क्योंकि \(x^{-1}\) है / It is not a polynomial because it has \(x^{-1}\)
Step 1
Concept
\(x^0\) is valid but \(x^{-1}\) is not valid. One invalid term prevents the whole expression from being a polynomial.
Step 2
Why this answer is correct
The correct answer is C. यह बहुपद नहीं है क्योंकि \(x^{-1}\) है / It is not a polynomial because it has \(x^{-1}\). \(x^0\) is valid but \(x^{-1}\) is not valid. One invalid term prevents the whole expression from being a polynomial.
Step 3
Exam Tip
\(x^0\) मान्य है लेकिन \(x^{-1}\) मान्य नहीं है। एक अमान्य पद पूरे व्यंजक को बहुपद नहीं रहने देता।
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व्यंजक \(x^5+x^3+x^0\) की डिग्री क्या है?
What is the degree of \(x^5+x^3+x^0\)?
#polynomial
#zero_power
#degree
A (0)
B (3)
C (5)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 2
Why this answer is correct
The correct answer is C. (5). \(x^0=1\), and the highest power is (5). Therefore the degree is (5).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (5) है। इसलिए डिग्री (5) है।
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\(7x^4-2x^2+3x^0\) की घात क्या है?
What is the degree of \(7x^4-2x^2+3x^0\)?
#definition-polynomial
#zero-power
#degree
A (0)
B (2)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(x^0\) acts like a constant term. The highest power is (4) in \(x^4\).
Step 2
Why this answer is correct
The correct answer is C. (4). \(x^0\) acts like a constant term. The highest power is (4) in \(x^4\).
Step 3
Exam Tip
\(x^0\) स्थिर पद जैसा है। सबसे बड़ी घात \(x^4\) में (4) है।
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व्यंजक \(x^4+x^2+x^0\) की डिग्री क्या है?
What is the degree of \(x^4+x^2+x^0\)?
#polynomial
#zero_power
#degree
A (0)
B (2)
C (4)
D (7)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\), and the highest power is (4). Therefore the degree is (4).
Step 2
Why this answer is correct
The correct answer is C. (4). \(x^0=1\), and the highest power is (4). Therefore the degree is (4).
Step 3
Exam Tip
\(x^0=1\) होता है और सबसे बड़ी घात (4) है। इसलिए डिग्री (4) है।
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किस व्यंजक में \(x^0\) के कारण स्थिर पद बनता है?
In which expression does \(x^0\) form a constant term?
#definition-polynomial
#zero-power
#constant-term
A \(6x^0+5x\)
B \(6x^{-1}+5x\)
C (6x^{1 / 2}+5x)
D \(6\sqrt{x}+5x\)
Explanation opens after your attempt
Correct Answer
A. \(6x^0+5x\)
Step 1
Concept
\(x^0=1\) when \(x\neq0\). So \(6x^0\) behaves like the constant term (6).
Step 2
Why this answer is correct
The correct answer is A. \(6x^0+5x\). \(x^0=1\) when \(x\neq0\). So \(6x^0\) behaves like the constant term (6).
Step 3
Exam Tip
\(x^0=1\) माना जाता है जब \(x\neq0\)। इसलिए \(6x^0\) स्थिर पद (6) जैसा है।
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व्यंजक \(x^2+x^{-1}+x^0\) बहुपद है या नहीं?
Is \(x^2+x^{-1}+x^0\) a polynomial or not?
#polynomial
#negative_power
#zero_power
A हां, क्योंकि \(x^0\) है / Yes, because it has \(x^0\)
B हां, क्योंकि इसमें तीन पद हैं / Yes, because it has three terms
C नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक है / No, because \(x^{-1}\) has a negative power
D हां, क्योंकि इसमें \(x^2\) है / Yes, because it has \(x^2\)
Explanation opens after your attempt
Correct Answer
C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक है / No, because \(x^{-1}\) has a negative power
Step 1
Concept
In \(x^{-1}\), the variable has a negative power. One invalid power makes the whole expression not a polynomial.
Step 2
Why this answer is correct
The correct answer is C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक है / No, because \(x^{-1}\) has a negative power. In \(x^{-1}\), the variable has a negative power. One invalid power makes the whole expression not a polynomial.
Step 3
Exam Tip
\(x^{-1}\) में चर की घात ऋणात्मक है। एक अमान्य घात होने से पूरा व्यंजक बहुपद नहीं रहता।
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क्या \(3x^0+5x\) बहुपद है?
Is \(3x^0+5x\) a polynomial?
#polynomial
#zero_power
#definition
A हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
B नहीं, क्योंकि \(x^0\) मान्य नहीं है / No, because \(x^0\) is not valid
C नहीं, क्योंकि इसमें दो पद हैं / No, because it has two terms
D नहीं, क्योंकि इसमें (5x) है / No, because it has (5x)
Explanation opens after your attempt
Correct Answer
A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
Step 1
Concept
The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.
Step 2
Why this answer is correct
The correct answer is A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1). The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.
Step 3
Exam Tip
\(x^0\) की घात (0) है, जो बहुपद में मान्य है। इसलिए यह बहुपद है।
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\(9x^0-4x+2x^2\) को बहुपद मानने का मुख्य कारण क्या है?
What is the main reason \(9x^0-4x+2x^2\) is considered a polynomial?
#definition-polynomial
#zero-power
#valid-polynomial
A क्योंकि \(x^0=0\) है / Because \(x^0=0\)
B क्योंकि सभी (x)-घातें (0), (1), (2) हैं / Because all (x)-powers are (0), (1), (2)
C क्योंकि इसमें कोई स्थिर पद नहीं है / Because it has no constant term
D क्योंकि यह शून्य बहुपद है / Because it is the zero polynomial
Explanation opens after your attempt
Correct Answer
B. क्योंकि सभी (x)-घातें (0), (1), (2) हैं / Because all (x)-powers are (0), (1), (2)
Step 1
Concept
The power in \(x^0\) is (0), and \(x^0=1\) is considered. All powers are non-negative integers.
Step 2
Why this answer is correct
The correct answer is B. क्योंकि सभी (x)-घातें (0), (1), (2) हैं / Because all (x)-powers are (0), (1), (2). The power in \(x^0\) is (0), and \(x^0=1\) is considered. All powers are non-negative integers.
Step 3
Exam Tip
\(x^0\) की घात (0) है और \(x^0=1\) माना जाता है। सभी घातें शून्य या धनात्मक पूर्णांक हैं।
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क्या \(x^0-4x\) बहुपद है?
Is \(x^0-4x\) a polynomial?
#polynomial
#zero_power
#definition
A हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
B नहीं, क्योंकि \(x^0\) मान्य नहीं है / No, because \(x^0\) is not valid
C नहीं, क्योंकि इसमें घटाव है / No, because it has subtraction
D नहीं, क्योंकि इसमें दो पद हैं / No, because it has two terms
Explanation opens after your attempt
Correct Answer
A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1)
Step 1
Concept
The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.
Step 2
Why this answer is correct
The correct answer is A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1). The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.
Step 3
Exam Tip
\(x^0\) की घात (0) है जो मान्य है। इसलिए \(x^0-4x\) बहुपद है।
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\(5x^0+2x\) को बहुपद मानते समय \(x^0\) किसके बराबर माना जाता है?
While treating \(5x^0+2x\) as a polynomial, \(x^0\) is considered equal to what?
#definition-polynomial
#zero-power
#constant-term
A (x)
B (0)
C (1)
D (5)
Explanation opens after your attempt
Step 1
Concept
\(x^0=1\) when \(x\neq0\). So \(5x^0\) acts like a constant term.
Step 2
Why this answer is correct
The correct answer is C. (1). \(x^0=1\) when \(x\neq0\). So \(5x^0\) acts like a constant term.
Step 3
Exam Tip
\(x^0=1\) होता है जब \(x\neq0\) हो। इसलिए \(5x^0\) स्थिर पद की तरह काम करता है।
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व्यंजक \(x^0+2x\) बहुपद है या नहीं?
Is the expression \(x^0+2x\) a polynomial or not?
#polynomial
#zero_power
#definition
A हां, बहुपद है / Yes, it is a polynomial
B नहीं, क्योंकि \(x^0\) गलत है / No, because \(x^0\) is wrong
C नहीं, क्योंकि इसमें दो पद हैं / No, because it has two terms
D नहीं, क्योंकि इसमें (2x) है / No, because it has (2x)
Explanation opens after your attempt
Correct Answer
A. हां, बहुपद है / Yes, it is a polynomial
Step 1
Concept
\(x^0=1\), and (2x) has power (1). Both powers are valid for a polynomial.
Step 2
Why this answer is correct
The correct answer is A. हां, बहुपद है / Yes, it is a polynomial. \(x^0=1\), and (2x) has power (1). Both powers are valid for a polynomial.
Step 3
Exam Tip
\(x^0=1\) और (2x) में घात (1) है। दोनों घातें बहुपद के लिए मान्य हैं।
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\(11^1+11^0\) का मान क्या है?
What is the value of \(11^1+11^0\)?
#exponents
#zero_power
A 11
B 12
C 22
D 121
Explanation opens after your attempt
Step 1
Concept
(11+1=12).
Step 2
Why this answer is correct
The correct answer is B. 12. (11+1=12).
Step 3
Exam Tip
(11+1=12)।
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\(6^2 \times 6^0\) का मान क्या है?
What is the value of \(6^2 \times 6^0\)?
#exponents
#zero_power
A 1
B 6
C 36
D 216
Explanation opens after your attempt
Step 1
Concept
\(6^0=1\). Hence value is 36.
Step 2
Why this answer is correct
The correct answer is C. 36. \(6^0=1\). Hence value is 36.
Step 3
Exam Tip
\(6^0=1\)। इसलिए मान 36 है।
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\(7^0+7^1\) का मान क्या है?
What is the value of \(7^0+7^1\)?
#exponents
#zero_power
A 7
B 49
C 8
D 14
Explanation opens after your attempt
Step 1
Concept
\(7^0=1\) and \(7^1=7\). Sum is 8.
Step 2
Why this answer is correct
The correct answer is C. 8. \(7^0=1\) and \(7^1=7\). Sum is 8.
Step 3
Exam Tip
\(7^0=1\) और \(7^1=7\)। योग 8 है।
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\(3^0\) का मान क्या है?
What is the value of \(3^0\)?
#exponents
#zero_power
A 1
B 0
C 3
D 9
Explanation opens after your attempt
Step 1
Concept
Any non-zero number raised to 0 equals 1.
Step 2
Why this answer is correct
The correct answer is A. 1. Any non-zero number raised to 0 equals 1.
Step 3
Exam Tip
किसी भी गैर-शून्य संख्या की शून्य घात 1 होती है।
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