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Popular >

simplify (\sqrt[3]{x^4})^5

Solution

simplify

Solution

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^{4} x^{\frac{8}{3}}

Apply exponent rule:

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

x^{4} x^{\frac{8}{3}} = x^{4 + \frac{8}{3}}

= x^{4 + \frac{8}{3}}

4 + \frac{8}{3} = \frac{20}{3}

= x^{\frac{20}{3}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{x^4})^5 ?
The solution to (\sqrt[3]{x^4})^5 is cube root of x^{20}