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If (a>0) and (b>0), what is the simplified form of ((a^4b^{-2})^{\frac{1}{2}})?
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Answer and explanation
Correct answer: (,\dfrac{a^2}{b},)
Applying the outside exponent (\dfrac{1}{2}) gives (a^2b^{-1}=\dfrac{a^2}{b}). In exams, apply the fractional power to every factor.
Frequently asked questions
What is the correct answer to this question?
(,\dfrac{a^2}{b},)
Why is this the correct answer?
Applying the outside exponent (\dfrac{1}{2}) gives (a^2b^{-1}=\dfrac{a^2}{b}). In exams, apply the fractional power to every factor.
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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