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5 votes
I just need the answer not how to do it

1 Answer

4 votes

\begin{gathered} \frac{3^{(11)/(5)}}{3^{(-9)/(5)}} \\ \text{But from the law of indices} \\ (a^b)/(a^c)=a^(b-c) \\ \frac{3^{(11)/(5)}}{3^{(-9)/(5)}}=3^{(11)/(5)-(-(9)/(5)_{})}=3^{(20)/(5)} \\ \frac{3^{(11)/(5)}}{3^{(-9)/(5)}}=3^4 \\ \frac{3^{(11)/(5)}}{3^{(-9)/(5)}}=3*3*3*3 \\ \frac{3^{(11)/(5)}}{3^{(-9)/(5)}}=81 \end{gathered}

The correct option is B: 81

User Zian Choy
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