What is (\sqrt[3]{7x})^5 ?

The solution to (\sqrt[3]{7x})^5 is 7\sqrt[3]{7^2}\sqrt[3]{x^5}

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simplify (\sqrt[3]{7x})^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}

7 \cdot 7^{\frac{2}{3}} = 7^{1 + \frac{2}{3}}

7^{1 + \frac{2}{3}} = 7 \cdot 7^{\frac{2}{3}}

Simplify

= 7^{\frac{2}{3}} \cdot 7 x^{\frac{5}{3}}

7^{\frac{2}{3}} \cdot 7 = 7^{\frac{5}{3}}

= 7^{\frac{5}{3}} x^{\frac{5}{3}}

7^{\frac{5}{3}} = 7 \cdot 7^{\frac{2}{3}}

= 7 \cdot 7^{\frac{2}{3}} x^{\frac{5}{3}}

2 - \frac{1}{4} (0.1)

0.125 \div 0.25 \times 6 - 0.24 \times 0.2

\frac{7}{3 x} - \frac{2}{5}

\frac{1}{1 - \frac{1}{2}}

What is (\sqrt[3]{7x})^5 ?
The solution to (\sqrt[3]{7x})^5 is 7\sqrt[3]{7^2}\sqrt[3]{x^5}