What is (\sqrt[3]{5x^2})^4 ?

The solution to (\sqrt[3]{5x^2})^4 is 5\sqrt[3]{5}x^2\sqrt[3]{x^2}

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simplify (\sqrt[3]{5x^2})^4

simplify

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

Apply radical rule:

assuming

a \geq 0, b \geq 0

((θ) (4) (β^{3}) + β^{4}) ((θ) (4) (β^{3}) + β^{4})

t e^{t} \cdot e^{t}

(25 p^{2} r^{3}) (3 p^{3} r t^{5})

(3 x^{2} y^{2}) (3 x^{3} y)

What is (\sqrt[3]{5x^2})^4 ?
The solution to (\sqrt[3]{5x^2})^4 is 5\sqrt[3]{5}x^2\sqrt[3]{x^2}