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If \(a \neq 0\) and \(b \neq 0\), what is the simplified form of \(\left(\dfrac{a^2}{b^{-3}}\right)^{-2}\)?
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Answer and explanation
Correct answer: \(,\dfrac{1}{a^4b^6},\)
Inside, \(\dfrac{a^2}{b^{-3}}=a^2b^3\), and applying the power (-2) gives \(\dfrac{1}{a^4b^6}\). In exams, simplify the inside part first.
Frequently asked questions
What is the correct answer to this question?
\(,\dfrac{1}{a^4b^6},\)
Why is this the correct answer?
Inside, \(\dfrac{a^2}{b^{-3}}=a^2b^3\), and applying the power (-2) gives \(\dfrac{1}{a^4b^6}\). In exams, simplify the inside part first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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