Question

Determine whether each pair of expressions is equivalent. Explain your reasoning.

Answer 1

The answer is:

`\large\textbf{They aren't equivalent.}}`

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

`\sf{x^(-m)=(1)/(x^m)}`

And

`\sf{(1)/(x^(-m))=x^m}`

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

`\sf{4^(-3)=(1)/(4^3)}`

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.