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I need an answer for this question, please help me !

I need an answer for this question, please help me !-example-1
User Centril
by
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1 Answer

2 votes
Answer:

A. 81

Step-by-step explanation:

The given expression is:


3^{(11)/(5)}/3^{-(9)/(5)}

Note that:


a^b/ a^c=a^(b-c)

Applying the rule of indices above to the given expression


\begin{gathered} 3^{(11)/(5)}/3^{-(9)/(5)} \\ \\ 3^{(11)/(5)-(-(9)/(5))} \\ \\ 3^{(11)/(5)+(9)/(5)} \\ \\ 3^{(20)/(5)} \\ \\ =3^4 \\ \\ =81 \end{gathered}

User Nikhil Vaghela
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3.4k points