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What is the value of (16^2 \div 4^2)?
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Answer and explanation
Correct answer: 16
For division of numbers with the same exponent, use
\((a^n \div b^n)=(a\div b)^n\). Thus,
\((16^2 \div 4^2)=(16\div4)^2=4^2=16\). Therefore, option C is correct. Exam tip: when the exponents are equal, divide the bases first and then apply the common exponent.
Frequently asked questions
What is the correct answer to this question?
16
Why is this the correct answer?
For division of numbers with the same exponent, use
\((a^n \div b^n)=(a\div b)^n\). Thus,
\((16^2 \div 4^2)=(16\div4)^2=4^2=16\). Therefore, option C is correct. Exam tip: when the exponents are equal, divide the bases first and then apply the common 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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