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What is the value of ((2^{-3}+2^{-2})^{-1})?
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Answer and explanation
Correct answer: (,\dfrac{8}{3},)
Inside, (2^{-3}+2^{-2}=\dfrac{1}{8}+\dfrac{1}{4}=\dfrac{3}{8}), so the power (-1) gives (\dfrac{8}{3}). In exams, simplify the bracket first.
Frequently asked questions
What is the correct answer to this question?
(,\dfrac{8}{3},)
Why is this the correct answer?
Inside, (2^{-3}+2^{-2}=\dfrac{1}{8}+\dfrac{1}{4}=\dfrac{3}{8}), so the power (-1) gives (\dfrac{8}{3}). In exams, simplify the bracket first.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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