What is the value of \(\left(64^{\frac{2}{3}}\right)\cdot\left(8^{-\frac{4}{3}}\right)\)?

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Answer and explanation

Correct answer: (1)

Here \(64^{\frac{2}{3}}=(4)^{2}=16\) and \(8^{-\frac{4}{3}}=(2)^{-4}=\frac{1}{16}\). The product is (1).

What is the correct answer to this question?

(1)

Why is this the correct answer?

Here \(64^{\frac{2}{3}}=(4)^{2}=16\) and \(8^{-\frac{4}{3}}=(2)^{-4}=\frac{1}{16}\). The product is (1).

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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