What is (\sqrt[3]{6n})^5 ?

The solution to (\sqrt[3]{6n})^5 is 6\sqrt[3]{6^2}\sqrt[3]{n^5}

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simplify (\sqrt[3]{6n})^5

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 exponent rule:

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

6 \cdot 6^{\frac{2}{3}} = 6^{1 + \frac{2}{3}}

6^{1 + \frac{2}{3}} = 6 \cdot 6^{\frac{2}{3}}

Simplify

= 6^{\frac{2}{3}} \cdot 6 n^{\frac{5}{3}}

6^{\frac{2}{3}} \cdot 6 = 6^{\frac{5}{3}}

= 6^{\frac{5}{3}} n^{\frac{5}{3}}

6^{\frac{5}{3}} = 6 \cdot 6^{\frac{2}{3}}

= 6 \cdot 6^{\frac{2}{3}} n^{\frac{5}{3}}

(ln (2))^{2} e^{(l n (2))^{2}}

2 x \cdot 2 x

(\frac{2}{3})^{4}

(\frac{16}{81})^{4}

What is (\sqrt[3]{6n})^5 ?
The solution to (\sqrt[3]{6n})^5 is 6\sqrt[3]{6^2}\sqrt[3]{n^5}