Question

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

Answer 1

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