Question

Julia asked to evaluate the expression four to the power of -3 before she can join her classmates outside. She decides to use the value of the expression to help choose which activity to do. If the value is greater on she’ll play basketball. Value is equal to one, she play soccer. If the value is less than 1to play tennis. Which activity is Julia going to do today?

Answer 1

Negative exponents work like this:

$a^{-b}=\dfrac{1}{a^b}$

So, you have

$4^{-3}=\dfrac{1}{4^3}=\dfrac{1}{64}$

This number is less than 1, so she will play tennis.