What is the value of ((2^3)^2)?
Answer and explanation
Correct answer: 64
Using the exponent rule \((a^m)^n=a^{mn}\), \((2^3)^2=2^{3\times2}=2^6=64\). Therefore, 64 is correct. Getting 32 would incorrectly give the exponent as 5. Exam tip: when a power is raised to another power, multiply the exponents; do not add them.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
Using the exponent rule \((a^m)^n=a^{mn}\), \((2^3)^2=2^{3\times2}=2^6=64\). Therefore, 64 is correct. Getting 32 would incorrectly give the exponent as 5. Exam tip: when a power is raised to another power, multiply the exponents; do not add 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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