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Popular >

simplify 3^{2/5}*3^{(-7/5)}

Solution

simplify

3^{\frac{2}{5}} \cdot 3^{(- \frac{7}{5})}

Solution

\frac{1}{3}

+1

Decimal Notation

0.33333 \dots

Solution steps

3^{\frac{2}{5}} \cdot 3^{- \frac{7}{5}}

Apply exponent rule:

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

3^{\frac{2}{5}} \cdot 3^{- \frac{7}{5}} = 3^{\frac{2}{5} - \frac{7}{5}}

= 3^{\frac{2}{5} - \frac{7}{5}}

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

= 3^{- 1}

Apply exponent rule:

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

3^{- 1} = \frac{1}{3}

= \frac{1}{3}

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Frequently Asked Questions (FAQ)

What is 3^{2/5}*3^{(-7/5)} ?
The solution to 3^{2/5}*3^{(-7/5)} is 1/3