Question

How did they get 8?

Answer 1

\[32^{\frac{ 3 }{ 5 }}\]

Answer 2

My bad, I forgot to put =8 at the end

Answer 3

They cubed 32 and then took the 5th root

Answer 4

32 cubed: 32768 5th root of it: 8, Yep

Answer 5

A denominator in an exponent means to take that root of the base number, while a numerator means to raise it to that power. In other words,
\[x^\frac{ a }{ b } = (\sqrt[b]{x})^a\]

In this case, \[\sqrt[5]{32} = 2\] so
\[32^\frac{ 3 }{ 5 } = 2^3 = 8\]

Answer 6

32 = 2^5

Answer 7

Please close this question