What is the value of ((10^2)^2)?
Answer and explanation
Correct answer: 10000
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\), we get \((10^2)^2=10^{2\times2}=10^4=10000\). Therefore, 10000 is correct. The value 100 is only \(10^2\); here, the entire \(10^2\) is squared again. Exam tip: when a power is raised to another power, multiply the exponents rather than adding them.
Frequently asked questions
What is the correct answer to this question?
10000
Why is this the correct answer?
Using the power-of-a-power rule, \((a^m)^n=a^{mn}\), we get \((10^2)^2=10^{2\times2}=10^4=10000\). Therefore, 10000 is correct. The value 100 is only \(10^2\); here, the entire \(10^2\) is squared again. Exam tip: when a power is raised to another power, multiply the exponents rather than adding them.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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