Question

Simplifying Rational Exponents

Answer 1

\[(\frac{ 1 }{ 4 })^{\frac{ 3 }{ 4 }}\]

Answer 2

Ahhhhhhhhhhhh it's 3/2 not 3/4

Answer 3

1/8?

Answer 4

You can simplify 3/2 as 1 and 1/2, and write this as
\( \frac{1}{4}^{1+\frac{1}{2}} = \frac{1}{4}^1 * \frac{1}{2}= \frac{1}{4}(\sqrt{\frac{1}{4}})=\frac{1}{4}*\frac{1}{2}=\frac{1}{8}\)

If you don't need it fully simplified and rather converted, just remember power is over root
\(\sqrt[2]{\left(\frac{1}{4}\right)^{3}}\)

Answer 5

Yess!! That's how I got it :) Thank you very much