(\frac{\(a^{2}b^{-1}\)^{-3}}{a^{-4}b^{2}}) का सरल रूप क्या है?
What is the simplified form of (\frac{\(a^{2}b^{-1}\)^{-3}}{a^{-4}b^{2}})?
#exponents
#monomial_division
#polynomials
A \(a^{-2}b\)
B \(a^{2}b^{-1}\)
C \(a^{-10}b^{5}\)
D \(a^{10}b^{-5}\)
Explanation opens after your attempt
Correct Answer
A. \(a^{-2}b\)
Step 1
Concept
(\(a^{2}b^{-1}\)^{-3}=a^{-6}b^{3}), then \(\frac{a^{-6}b^{3}}{a^{-4}b^{2}}=a^{-2}b\). In exams, subtract powers of the same base during division.
Step 2
Why this answer is correct
The correct answer is A. \(a^{-2}b\). (\(a^{2}b^{-1}\)^{-3}=a^{-6}b^{3}), then \(\frac{a^{-6}b^{3}}{a^{-4}b^{2}}=a^{-2}b\). In exams, subtract powers of the same base during division.
Step 3
Exam Tip
(\(a^{2}b^{-1}\)^{-3}=a^{-6}b^{3}), फिर \(\frac{a^{-6}b^{3}}{a^{-4}b^{2}}=a^{-2}b\)। परीक्षा में भाग करते समय समान आधार की घात घटाएं।
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(\frac{\(2x^2y^{-2}\)3 }{8x-3 y^{-7}}) का सरल रूप क्या है यदि \(x\neq0\) और \(y\neq0\)?
What is the simplified form of (\frac{\(2x^2y^{-2}\)3 }{8x-3 y^{-7}}) if \(x\neq0\) and \(y\neq0\)?
#polynomials
#monomial division
#exponent simplification
A \(x^3y\)
B \(x^3y^{-13}\)
C \(8x^3y\)
D \(x^6y\)
Explanation opens after your attempt
Correct Answer
A. \(x^3y\)
Step 1
Concept
The numerator is (\(2x^2y^{-2}\)3 =8x-6 y^{-6}). Dividing gives \(x^{6-3}y^{-6-(-7)}=x^3y\).
Step 2
Why this answer is correct
The correct answer is A. \(x^3y\). The numerator is (\(2x^2y^{-2}\)3 =8x-6 y^{-6}). Dividing gives \(x^{6-3}y^{-6-(-7)}=x^3y\).
Step 3
Exam Tip
ऊपर (\(2x^2y^{-2}\)3 =8x-6 y^{-6}) है। भाग देने पर \(x^{6-3}y^{-6-(-7)}=x^3y\) मिलता है।
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\(\frac{18x^5y^3}{6x^2y}\) का सरल रूप क्या है यदि \(x\neq0\) और \(y\neq0\)?
What is the simplified form of \(\frac{18x^5y^3}{6x^2y}\) if \(x\neq0\) and \(y\neq0\)?
#polynomials
#monomial division
#exponent laws
A \(3x^3y^2\)
B \(12x^3y^2\)
C \(3x^7y^4\)
D \(108x^3y^2\)
Explanation opens after your attempt
Correct Answer
A. \(3x^3y^2\)
Step 1
Concept
The coefficient is \(\frac{18}{6}=3\), \(x^{5-2}=x^3\), and \(y^{3-1}=y^2\). So the answer is \(3x^3y^2\).
Step 2
Why this answer is correct
The correct answer is A. \(3x^3y^2\). The coefficient is \(\frac{18}{6}=3\), \(x^{5-2}=x^3\), and \(y^{3-1}=y^2\). So the answer is \(3x^3y^2\).
Step 3
Exam Tip
गुणांक \(\frac{18}{6}=3\), \(x^{5-2}=x^3\) और \(y^{3-1}=y^2\) है। इसलिए उत्तर \(3x^3y^2\) है।
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\(24a^5b^3\div6a^2b^2\) का सरल रूप क्या है यदि \(a\neq0\) और \(b\neq0\)?
What is the simplified form of \(24a^5b^3\div6a^2b^2\) if \(a\neq0\) and \(b\neq0\)?
#polynomials
#monomial division
#exponent laws
A \(4a^3b\)
B \(18a^3b\)
C \(4a^7b^5\)
D \(144a^3b\)
Explanation opens after your attempt
Correct Answer
A. \(4a^3b\)
Step 1
Concept
The coefficient is \(\frac{24}{6}=4\), \(a^{5-2}=a^3\), and \(b^{3-2}=b\). So the answer is \(4a^3b\).
Step 2
Why this answer is correct
The correct answer is A. \(4a^3b\). The coefficient is \(\frac{24}{6}=4\), \(a^{5-2}=a^3\), and \(b^{3-2}=b\). So the answer is \(4a^3b\).
Step 3
Exam Tip
गुणांक \(\frac{24}{6}=4\), \(a^{5-2}=a^3\) और \(b^{3-2}=b\) है। इसलिए उत्तर \(4a^3b\) है।
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(\frac{\(3x^2\)2 }{9x}) का सरल रूप क्या है यदि \(x\neq0\)?
What is the simplified form of (\frac{\(3x^2\)2 }{9x}) if \(x\neq0\)?
#polynomials
#monomial division
#exponents
A \(x^2\)
B \(x^3\)
C \(3x^3\)
D \(9x^3\)
Explanation opens after your attempt
Correct Answer
B. \(x^3\)
Step 1
Concept
(\(3x^2\)2 =9x-4 ). Then \(\frac{9x^4}{9x}=x^3\).
Step 2
Why this answer is correct
The correct answer is B. \(x^3\). (\(3x^2\)2 =9x-4 ). Then \(\frac{9x^4}{9x}=x^3\).
Step 3
Exam Tip
(\(3x^2\)2 =9x-4 ) होता है। फिर \(\frac{9x^4}{9x}=x^3\) है।
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(\frac{\(3x^2y^{-1}\)2 }{9xy^{-3}}) का सरल रूप क्या है यदि \(x\neq0\) और \(y\neq0\)?
What is the simplified form of (\frac{\(3x^2y^{-1}\)2 }{9xy^{-3}}) if \(x\neq0\) and \(y\neq0\)?
#polynomials
#monomial division
#exponent simplification
A \(x^3y\)
B \(x^3y^{-5}\)
C \(9x^3y\)
D \(x^4y\)
Explanation opens after your attempt
Correct Answer
A. \(x^3y\)
Step 1
Concept
The numerator is (\(3x^2y^{-1}\)2 =9x-4 y^{-2}). Dividing gives \(x^{4-1}y^{-2-(-3)}=x^3y\).
Step 2
Why this answer is correct
The correct answer is A. \(x^3y\). The numerator is (\(3x^2y^{-1}\)2 =9x-4 y^{-2}). Dividing gives \(x^{4-1}y^{-2-(-3)}=x^3y\).
Step 3
Exam Tip
ऊपर (\(3x^2y^{-1}\)2 =9x-4 y^{-2}) है। भाग देने पर \(x^{4-1}y^{-2-(-3)}=x^3y\) मिलता है।
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\(15a^4b^2\div5a^2b\) का सरल रूप क्या है यदि \(a\neq0\) और \(b\neq0\)?
What is the simplified form of \(15a^4b^2\div5a^2b\) if \(a\neq0\) and \(b\neq0\)?
#polynomials
#monomial division
#exponent laws
A \(3a^2b\)
B \(10a^2b\)
C \(3a^6b^3\)
D \(75a^2b\)
Explanation opens after your attempt
Correct Answer
A. \(3a^2b\)
Step 1
Concept
The coefficient is \(\frac{15}{5}=3\), \(a^{4-2}=a^2\), and \(b^{2-1}=b\). So the answer is \(3a^2b\).
Step 2
Why this answer is correct
The correct answer is A. \(3a^2b\). The coefficient is \(\frac{15}{5}=3\), \(a^{4-2}=a^2\), and \(b^{2-1}=b\). So the answer is \(3a^2b\).
Step 3
Exam Tip
गुणांक \(\frac{15}{5}=3\), \(a^{4-2}=a^2\) और \(b^{2-1}=b\) है। इसलिए उत्तर \(3a^2b\) है।
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(\frac{\(2x^3\)2 }{4x-2 }) का सरल रूप क्या है यदि \(x\neq0\)?
What is the simplified form of (\frac{\(2x^3\)2 }{4x-2 }) if \(x\neq0\)?
#polynomials
#monomial division
#exponents
A \(x^2\)
B \(x^4\)
C \(2x^4\)
D \(4x^4\)
Explanation opens after your attempt
Correct Answer
B. \(x^4\)
Step 1
Concept
(\(2x^3\)2 =4x-6 ). Then \(\frac{4x^6}{4x^2}=x^4\).
Step 2
Why this answer is correct
The correct answer is B. \(x^4\). (\(2x^3\)2 =4x-6 ). Then \(\frac{4x^6}{4x^2}=x^4\).
Step 3
Exam Tip
(\(2x^3\)2 =4x-6 ) होता है। फिर \(\frac{4x^6}{4x^2}=x^4\) है।
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\(42a^7\div6a^4\) का सरल रूप क्या है यदि \(a\neq0\)?
What is the simplified form of \(42a^7\div6a^4\) if \(a\neq0\)?
#polynomials
#monomial division
#exponents
A \(7a^3\)
B \(36a^3\)
C \(7a^{11}\)
D \(252a^3\)
Explanation opens after your attempt
Correct Answer
A. \(7a^3\)
Step 1
Concept
\(\frac{42}{6}=7\) and \(\frac{a^7}{a^4}=a^3\). Therefore the answer is \(7a^3\).
Step 2
Why this answer is correct
The correct answer is A. \(7a^3\). \(\frac{42}{6}=7\) and \(\frac{a^7}{a^4}=a^3\). Therefore the answer is \(7a^3\).
Step 3
Exam Tip
\(\frac{42}{6}=7\) और \(\frac{a^7}{a^4}=a^3\) है। इसलिए उत्तर \(7a^3\) है।
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\(\frac{35x^6}{7x^3}\) का सरल रूप क्या है यदि \(x\neq0\)?
What is the simplified form of \(\frac{35x^6}{7x^3}\) if \(x\neq0\)?
#polynomials
#monomial division
#exponents
A \(5x^3\)
B \(28x^3\)
C \(5x^9\)
D \(245x^3\)
Explanation opens after your attempt
Correct Answer
A. \(5x^3\)
Step 1
Concept
The coefficient part is \(\frac{35}{7}=5\) and the variable part is \(\frac{x^6}{x^3}=x^3\). Thus the simplified form is \(5x^3\).
Step 2
Why this answer is correct
The correct answer is A. \(5x^3\). The coefficient part is \(\frac{35}{7}=5\) and the variable part is \(\frac{x^6}{x^3}=x^3\). Thus the simplified form is \(5x^3\).
Step 3
Exam Tip
गुणांक \(\frac{35}{7}=5\) और चर भाग \(\frac{x^6}{x^3}=x^3\) है। इसलिए सरल रूप \(5x^3\) है।
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\(30a^6\div5a^3\) का सरल रूप क्या है यदि \(a\neq0\)?
What is the simplified form of \(30a^6\div5a^3\) if \(a\neq0\)?
#polynomials
#monomial division
#exponents
A \(6a^3\)
B \(25a^3\)
C \(6a^9\)
D \(150a^3\)
Explanation opens after your attempt
Correct Answer
A. \(6a^3\)
Step 1
Concept
\(\frac{30}{5}=6\) and \(\frac{a^6}{a^3}=a^3\). Therefore the answer is \(6a^3\).
Step 2
Why this answer is correct
The correct answer is A. \(6a^3\). \(\frac{30}{5}=6\) and \(\frac{a^6}{a^3}=a^3\). Therefore the answer is \(6a^3\).
Step 3
Exam Tip
\(\frac{30}{5}=6\) और \(\frac{a^6}{a^3}=a^3\) है। इसलिए उत्तर \(6a^3\) है।
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\(\frac{24x^5}{6x^2}\) का सरल रूप क्या है यदि \(x\neq0\)?
What is the simplified form of \(\frac{24x^5}{6x^2}\) if \(x\neq0\)?
#polynomials
#monomial division
#exponents
A \(4x^3\)
B \(18x^3\)
C \(4x^7\)
D \(144x^3\)
Explanation opens after your attempt
Correct Answer
A. \(4x^3\)
Step 1
Concept
The coefficient part is \(\frac{24}{6}=4\) and \(\frac{x^5}{x^2}=x^3\). Thus the simplified form is \(4x^3\).
Step 2
Why this answer is correct
The correct answer is A. \(4x^3\). The coefficient part is \(\frac{24}{6}=4\) and \(\frac{x^5}{x^2}=x^3\). Thus the simplified form is \(4x^3\).
Step 3
Exam Tip
गुणांक \(\frac{24}{6}=4\) और \(\frac{x^5}{x^2}=x^3\) है। इसलिए सरल रूप \(4x^3\) 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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\(\frac{15x^4}{5x^2}\) 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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