Rewrite the expression using rational exponents: \sqrt[4]{x^{3}}

Chesley 2021-08-07 Answered

Rewrite the expression using rational exponents.
$\sqrt[4]{x^{3}}$

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Expert Answer

Laith Petty

Answered 2021-08-08 Author has 103 answers

Step 1
Given radical expression: $\sqrt[4]{x^{3}}$
Step 2
To write Radicals as Exponents:
$\sqrt[n]{x^{m}} = {\sqrt[n]{x}}^{m} = x^{\frac{m}{n}}$
Therefore,
$\sqrt[4]{x^{3}} = x^{\frac{3}{4}}$
Hence, the radical expression $\sqrt[4]{x^{3}}$ is written in rational exponents as $x^{\frac{3}{4}}$

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