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mash [69]
3 years ago
15

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

s:)

Mathematics
1 answer:
iragen [17]3 years ago
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}

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