What is b^{2/5}\sqrt[3]{b^{2/5}} ?

The solution to b^{2/5}\sqrt[3]{b^{2/5}} is b^{8/15}

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simplify b^{2/5}\sqrt[3]{b^{2/5}}

simplify

b^{\frac{8}{15}}

Solution steps

Simplify

= b^{\frac{2}{5}} b^{\frac{2}{15}}

Apply exponent rule:

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

b^{\frac{2}{5}} b^{\frac{2}{15}} = b^{\frac{2}{5} + \frac{2}{15}}

= b^{\frac{2}{5} + \frac{2}{15}}

\frac{2}{5} + \frac{2}{15} = \frac{8}{15}

= b^{\frac{8}{15}}

4.9 \cdot 1 0^{- 10}

2 x - 3 \cdot x - 5

1 + e^{- 1}

What is b^{2/5}\sqrt[3]{b^{2/5}} ?
The solution to b^{2/5}\sqrt[3]{b^{2/5}} is b^{8/15}