Question

$$3^{4}\times7^{8}\times8^{9}; 6^{6}\times7^{3}\times9^{4}$$

Answer

$$81*5764801*8^9;6^6*343*6561$$

Solution


Simplify  \({3}^{4}\)  to  \(81\).
\[\begin{aligned}&81\times {7}^{8}\times {8}^{9}\\&{6}^{6}\times {7}^{3}\times {9}^{4}\end{aligned}\]
Simplify  \({7}^{8}\)  to  \(5764801\).
\[\begin{aligned}&81\times 5764801\times {8}^{9}\\&{6}^{6}\times {7}^{3}\times {9}^{4}\end{aligned}\]
Simplify  \({7}^{3}\)  to  \(343\).
\[\begin{aligned}&81\times 5764801\times {8}^{9}\\&{6}^{6}\times 343\times {9}^{4}\end{aligned}\]
Simplify  \({9}^{4}\)  to  \(6561\).
\[\begin{aligned}&81\times 5764801\times {8}^{9}\\&{6}^{6}\times 343\times 6561\end{aligned}\]