What is result of ((2^{-2})^2)
Answer and explanation
Correct answer: \(2^{-4}\)
Using the power-of-a-power rule \((a^m)^n=a^{mn}\), \((2^{-2})^2=2^{(-2)\times2}=2^{-4}=\frac{1}{16}\). Therefore, option A is correct. Option B is incorrect because it changes the negative exponent to a positive one. Exam tip: when a power is raised to another power, multiply the exponents.
Frequently asked questions
What is the correct answer to this question?
\(2^{-4}\)
Why is this the correct answer?
Using the power-of-a-power rule \((a^m)^n=a^{mn}\), \((2^{-2})^2=2^{(-2)\times2}=2^{-4}=\frac{1}{16}\). Therefore, option A is correct. Option B is incorrect because it changes the negative exponent to a positive one. Exam tip: when a power is raised to another power, multiply the exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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