What is the value of \(\left(27^{\frac{2}{3}}\right)^{-1}\cdot\left(81^{\frac{3}{4}}\right)\)?

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Answer and explanation

Correct answer: (3)

Here \(27^{\frac{2}{3}}=9\), so the first factor is \(\frac{1}{9}\), and \(81^{\frac{3}{4}}=27\). The product is (3).

What is the correct answer to this question?

(3)

Why is this the correct answer?

Here \(27^{\frac{2}{3}}=9\), so the first factor is \(\frac{1}{9}\), and \(81^{\frac{3}{4}}=27\). The product is (3).

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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