I need to simplify : 4th root of (81a^3)^5 the 4th root only implies to 81a^3
This can re-written like this:(81 a^3)^(1/4)=3(a^3)^1/4=3(a^3/4)
(3(a^3/4))^5=(243 a^15)/1024
CPhill: Please check this.Thanks.
The first part of your answer is correct Guest, but you went astray at the end.
\(((81a^3)^\frac{1}{4})^5 \rightarrow (81^\frac{1}{4}a^\frac{3}{4})^5 \rightarrow (3a^\frac{3}{4})^5\rightarrow3^5a^\frac{15}{4}\rightarrow 243a^\frac{15}{4}\)
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