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If (a \neq 0) and (b \neq 0), what is the simplified form of (\dfrac{(a^{-2}b^3)^2}{(ab^{-1})^{-1}})?
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Answer and explanation
Correct answer: (,\dfrac{b^5}{a^3},)
The numerator is ((a^{-2}b^3)^2=a^{-4}b^6) and the denominator is ((ab^{-1})^{-1}=a^{-1}b), so the answer is (\dfrac{b^5}{a^3}). In exams, apply the outside power first.
Frequently asked questions
What is the correct answer to this question?
(,\dfrac{b^5}{a^3},)
Why is this the correct answer?
The numerator is ((a^{-2}b^3)^2=a^{-4}b^6) and the denominator is ((ab^{-1})^{-1}=a^{-1}b), so the answer is (\dfrac{b^5}{a^3}). In exams, apply the outside power 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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