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

Question

3 years ago

15

s:)

1 answer:

iragen [17] · Answer 1 · 2022-04-12T09:01:10+03:00

6 0

Answer:

b. 9/100

Step-by-step 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 ...

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