39,402 views
21 votes
21 votes
Express (81^1/2) ^5 in simplest radical form

User Vijay Rajput
by
2.9k points

1 Answer

12 votes
12 votes

9^5

1) Let's simplify this expression, making use of the properties of the exponents.

2) So we can write it out:


\begin{gathered} (a^b)^c=a^(bc) \\ (81^{(1)/(2)})^5=((9^2)^{(1)/(2)})^5=(9^{(2)/(2)})^5=9^5 \end{gathered}

Note that we rewrote 81 as power and then applied the property of the exponents

User Wendigooor
by
3.3k points
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