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What is the value of \(15^2 \div 5^2\)?
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Answer and explanation
Correct answer: 9
Using the law \(\frac{a^n}{b^n}=\left(\frac{a}{b}\right)^n\) for equal exponents, \(\frac{15^2}{5^2}=\left(\frac{15}{5}\right)^2=3^2=9\). Therefore, 9 is correct. Exam tip: When the exponents are the same, divide the bases first and then apply the exponent.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
Using the law \(\frac{a^n}{b^n}=\left(\frac{a}{b}\right)^n\) for equal exponents, \(\frac{15^2}{5^2}=\left(\frac{15}{5}\right)^2=3^2=9\). Therefore, 9 is correct. Exam tip: When the exponents are the same, divide the bases first and then apply the exponent.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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