√(3^4)^8 * 3^4 =

asked by guest
on Apr 06, 2025 at 5:03 pm



You asked:

Evaluate the expression: 34834{\sqrt{{3}^{4}}}^{8} \cdot {3}^{4}

MathBot Answer:

34834=3486784401{\sqrt{{3}^{4}}}^{8} \cdot {3}^{4} = 3486784401


34834=(34)834=(81)834=9834=4304672134=4304672181=3486784401\begin{aligned}{\sqrt{{3}^{4}}}^{8} \cdot {3}^{4}&=\left(\sqrt{3^{4}}\right)^{8} \cdot 3^{4}\\&=\left(\sqrt{81}\right)^{8} \cdot 3^{4}\\&=9^{8} \cdot 3^{4}\\&=43046721 \cdot 3^{4}\\&=43046721 \cdot 81\\&=3486784401\end{aligned}