√(3^4)^8 * 3^4 =
asked by guest on Apr 06, 2025 at 5:03 pm
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MathBot Answer:
348⋅34=3486784401{\sqrt{{3}^{4}}}^{8} \cdot {3}^{4} = 3486784401348⋅34=3486784401
348⋅34=(34)8⋅34=(81)8⋅34=98⋅34=43046721⋅34=43046721⋅81=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}348⋅34=(34)8⋅34=(81)8⋅34=98⋅34=43046721⋅34=43046721⋅81=3486784401