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What is the value of ((2^2)^3)?
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Answer and explanation
Correct answer: 64
Use the power-of-a-power rule: \((a^m)^n=a^{mn}\). Hence, \((2^2)^3=2^{2\times3}=2^6=64\). The value 32 may result from adding exponents incorrectly; in this rule, the exponents are multiplied. Exam tip: an exponent outside brackets applies to the entire power inside the brackets.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
Use the power-of-a-power rule: \((a^m)^n=a^{mn}\). Hence, \((2^2)^3=2^{2\times3}=2^6=64\). The value 32 may result from adding exponents incorrectly; in this rule, the exponents are multiplied. Exam tip: an exponent outside brackets applies to the entire power inside the brackets.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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