Question

Which expression is equivalent to (2^-1)^3

Answer 1

The solution is $\frac{1}{8}$ .

To understand this problem we need to know the concept of surds and indices, powers and exponents.

If we write $x^{2}$ it means that x must be multiplied by itself two times.

But if we write $x^{-2}$ it means $\frac{1}{x^{2} }$.

Which means if an number has negative power then it must be written in the inverse format to make it positive.

Given here is $(2^{-1})^{3}$

⇒$(\frac{1}{2}) ^{3}$

⇒$\frac{1}{8}$ is the required solution of the problem.

This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.

To learn more about the surds and indices visit the link:

brainly.com/question/14032921

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