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Popular >

simplify (\sqrt[9]{3x})^7

Solution

simplify

Solution

3^{\frac{7}{9}} x^{\frac{7}{9}}

Solution steps

Apply radical rule:

= ((3 x)^{\frac{1}{9}})^{7}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (3 x)^{\frac{1}{9} \cdot 7}

\frac{1}{9} \cdot 7 = \frac{7}{9}

= (3 x)^{\frac{7}{9}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= 3^{\frac{7}{9}} x^{\frac{7}{9}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[9]{3x})^7 ?
The solution to (\sqrt[9]{3x})^7 is 3^{7/9}x^{7/9}