Question

please help me evaluate this. the answer is B but im not sure how to get the answer without using a calculator. please show steps:)

Answer 1

b. 9/100

Explanation:

It helps if you have memorized the cubes of small integers. Of course, the ones needed here are ...

3³ = 27

10³ = 1000

The desired value can be simplified to ...

`\left(-(1000)/(27)\right)^(-2/3)=\left(-\sqrt[3]{(3^3)/(10^3)}\right)^2=((-3)^2)/(10^2)=(9)/(100)`