Question

Evaluate 32 to the power of -2/5

Answer 1

`{32}^{ ( 2)/( - 5) }`

note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate

`{32}^(2)`

first, and then take the 5th root from the solution

`{1024}^{ (1)/( - 5) }`

=

`\sqrt[ - 5]{1024} = (1)/(4)`

I solved the last part with a virtual calculator, but double checked it (see screenshot)

Answer 2

Explanation:

32=-80*(-2/5) bấm máy là ok mà