Answer
$$2^9x\cdot3^5(2^4x\cdot3)^2=286654464x^3$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}2^9x\cdot3^5(2^4x\cdot3)^2& \xlongequal{ }512x\cdot243(16x\cdot3)^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}124416x(48x)^2 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}124416x\cdot2304x^2 \xlongequal{ } \\[1 em] & \xlongequal{ }286654464x^3\end{aligned} $$ | |
| ① | $$ 512 x \cdot 243 = 124416 x $$$$ 16 x \cdot 3 = 48 x $$ |
| ② | $$ \left( 48x \right)^2 = 48^2x^2 = 2304x^2 $$ |
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