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Popular >

simplify (\sqrt[3]{x^{3/4}})^4

Solution

simplify

Solution

x

Solution steps

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

Apply exponent rule:

assuming

n i s o dd or a \geq 0

Simplify

= x^{\frac{3}{4}} x^{\frac{1}{4}}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{3}{4}} x^{\frac{1}{4}} = x^{\frac{3}{4} + \frac{1}{4}}

= x^{\frac{3}{4} + \frac{1}{4}}

\frac{3}{4} + \frac{1}{4} = 1

= x^{1}

Apply exponent rule:

a^{1} = a

= x

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{x^{3/4}})^4 ?
The solution to (\sqrt[3]{x^{3/4}})^4 is x