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Volgvan
2 years ago
13

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

Mathematics
1 answer:
erica [24]2 years ago
4 0

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.

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