Question

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

Answer 1

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.