Question

Convert compressions to simplified faction or integer. If it’s not a real number, enter None

Answer 1

Given an expression:

$(-81)^{\frac{1}{4}}$

We have to simplify the expression, if it does not result in a real number then the answer is NONE.

Let:

$x=(-81)^{\frac{1}{4}}$

Then,

$\begin{gathered} x=(-81)^{\frac{1}{4}} \\ \Rightarrow x^4=((-81)^{\frac{1}{4}})^4 \\ \Rightarrow x^4=-81 \end{gathered}$

There is no real number whose power 4 is a negative number.

Thus, the answer is not a real number. The answer is NONE.