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What is the value of (\frac{5^{8}\cdot 25^{-2}}{125})?

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Answer and explanation

Correct answer: (5)

Since (25^{-2}=5^{-4}) and (125=5^{3}), (\frac{5^{8}\cdot5^{-4}}{5^{3}}=5^{1}=5). In exams, convert (25) and (125) into powers of (5).

Related tags

PolynomialsLaws Of ExponentsReal Numbers

Frequently asked questions

What is the correct answer to this question?

(5)

Why is this the correct answer?

Since (25^{-2}=5^{-4}) and (125=5^{3}), (\frac{5^{8}\cdot5^{-4}}{5^{3}}=5^{1}=5). In exams, convert (25) and (125) into powers of (5).

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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