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Popular >

simplify (\sqrt[8]{3bm})^5

Solution

simplify

Solution

3^{\frac{5}{8}} (bm)^{\frac{5}{8}}

Solution steps

Apply radical rule:

= ((3 bm)^{\frac{1}{8}})^{5}

Apply exponent rule:

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

= (3 bm)^{\frac{1}{8} \cdot 5}

\frac{1}{8} \cdot 5 = \frac{5}{8}

= (3 bm)^{\frac{5}{8}}

Apply exponent rule:

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

= 3^{\frac{5}{8}} (bm)^{\frac{5}{8}}

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Frequently Asked Questions (FAQ)

What is (\sqrt[8]{3bm})^5 ?
The solution to (\sqrt[8]{3bm})^5 is 3^{5/8}(bm)^{5/8}