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Popular >

simplify (\sqrt[5]{b})^7

Solution

simplify

Solution

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

Simplify

= b b^{\frac{2}{5}}

Apply exponent rule:

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

b b^{\frac{2}{5}} = b^{1 + \frac{2}{5}}

= b^{1 + \frac{2}{5}}

1 + \frac{2}{5} = \frac{7}{5}

= b^{\frac{7}{5}}

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Frequently Asked Questions (FAQ)

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