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Popular >

simplify (\sqrt[3]{x})^{13}

Solution

simplify

(3 x)^{13}

Solution

x^{4} 3 x

Solution steps

(3 x)^{13}

Apply exponent rule:

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

(3 x)^{12 + 1} = (3 x)^{12} 3 x

= (3 x)^{12} 3 x

Simplify

(3 x)^{12} : ((3 x)^{3})^{4}

= ((3 x)^{3})^{4} 3 x

Apply exponent rule:

(n a)^{n} = a,

assuming

n i s o dd or a \geq 0

(3 x)^{3} = x

= x^{4} 3 x

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Frequently Asked Questions (FAQ)

What is (\sqrt[3]{x})^{13} ?
The solution to (\sqrt[3]{x})^{13} is x^4\sqrt[3]{x}