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