What is the value of (25^2 \div 5^2)?
Answer and explanation
Correct answer: 25
Using the quotient rule for equal powers, \((25^2 \div 5^2)=(25\div 5)^2=5^2=25\). Therefore, option B is correct. Option A is only the quotient of the bases and misses the required squaring step. In an exam, remember the rule \(a^n\div b^n=(a\div b)^n\) when the exponents are equal.
Frequently asked questions
What is the correct answer to this question?
25
Why is this the correct answer?
Using the quotient rule for equal powers, \((25^2 \div 5^2)=(25\div 5)^2=5^2=25\). Therefore, option B is correct. Option A is only the quotient of the bases and misses the required squaring step. In an exam, remember the rule \(a^n\div b^n=(a\div b)^n\) when the exponents are equal.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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