Evaluate 32 to the power of -2/5

Question

asked Feb 18, 2022 94.4k views

2 Answers

BrianHT · Answer 1 · 2022-02-19T05:56:26+0000

Answer:

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

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)