How do you simplify $\frac{1}{x^{- \frac{5}{4}}}$ $1/x^(-5/4)$ ?

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Answer 1 · 2017-08-20T13:28:56

Simplified form: $\sqrt[4]{x^{5}}$ $root(4)(x^5)$

When you have a number raised to a negative exponent, you can change it into its reciprocal and change the sign on the exponent.

$\frac{1}{x^{- \frac{5}{4}}} = x^{\frac{5}{4}}$ $1/(x^(-5/4))= x^(5/4)$

Sometimes you could leave it in that form, but generally it would then be turned into root form.

$x^{\frac{5}{4}} = \sqrt[4]{x^{5}}$ $x^(5/4)=root(4)(x^5)$

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