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Popular >

simplify a^{2/5}*a^{-3}

Solution

simplify

a^{\frac{2}{5}} \cdot a^{- 3}

Solution

\frac{1}{a ^{\frac{13}{5}}}

Solution steps

a^{\frac{2}{5}} a^{- 3}

Apply exponent rule:

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

a^{\frac{2}{5}} a^{- 3} = a^{\frac{2}{5} - 3}

= a^{\frac{2}{5} - 3}

\frac{2}{5} - 3 = - \frac{13}{5}

= a^{- \frac{13}{5}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

a^{- \frac{13}{5}} = \frac{1}{a ^{\frac{13}{5}}}

= \frac{1}{a ^{\frac{13}{5}}}

Popular Examples

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3 - 108

\frac{1}{3} x + 2 = 3

\frac{2}{3} x - \frac{1}{5} = 6

simplify sqrt(y^{12)}simplify

y^{12}

Frequently Asked Questions (FAQ)

What is a^{2/5}*a^{-3} ?
The solution to a^{2/5}*a^{-3} is 1/(a^{13/5)}