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What is the value of ((5^3)^2\div25^2)?
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Answer and explanation
Correct answer: 25
Using the laws of exponents, \((5^3)^2=5^{3\times2}=5^6\) and \(25^2=(5^2)^2=5^4\). Therefore, \(5^6\div5^4=5^{6-4}=5^2=25\). Hence, option A is correct. In such questions, first express all numbers as powers of the same base.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
Using the laws of exponents, \((5^3)^2=5^{3\times2}=5^6\) and \(25^2=(5^2)^2=5^4\). Therefore, \(5^6\div5^4=5^{6-4}=5^2=25\). Hence, option A is correct. In such questions, first express all numbers as powers of the same base.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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