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What is the value of ((2^5)^{\frac{2}{5}}\times (3^3)^{\frac{1}{3}})?

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Answer and explanation

Correct answer: (,12,)

((2^5)^{\frac{2}{5}}=2^2=4) and ((3^3)^{\frac{1}{3}}=3), so the product is (12). In exams, apply the power of a power law.

Related tags

PolynomialsRational-ExponentsPower-Of-PowerReal-Numbers

Frequently asked questions

What is the correct answer to this question?

(,12,)

Why is this the correct answer?

((2^5)^{\frac{2}{5}}=2^2=4) and ((3^3)^{\frac{1}{3}}=3), so the product is (12). In exams, apply the power of a power law.

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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