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

Question

asked Jan 20, 2023 118k views

1 Answer

Daxelrod · Answer 1 · 2023-01-26T12:39:37+0000

Given an expression:

$(-81)^{(1)/(4)}$

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

Let:

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

Then,

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

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

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