Evaluate: (1000/216)^-2/3 *10 /36

asked Jun 12, 2023 24.8k views

5 votes

by LeeR

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2 votes

We want to evaluate:

$((1000)/(216))^{(-2)/(3)}\cdot\text{ }(10)/(36)$

This is the same thing as:

$((216)/(1000))^{(2)/(3)}\cdot\text{ }(10)/(36)$

Simplifying this, we have:

$(\frac{6\text{ }}{10})^2\cdot(10)/(36)$
$=\text{ }(36)/(100)*(10)/(36)$
(1)/(10)

That is the answer

Enrico Ros answered Jun 18, 2023

8.0k points

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