Answer:
[tex]4^{12}[/tex]Explanation:
Given the expression:
[tex]\left(4-3\right)^5\left(4*4^2\right)^2[/tex]To determine an equivalent expression, we start by simplifying the terms in the braket.
[tex]\begin{gathered} \left(4-3\right)^5\left(4*4^2\right)^4=\left(1\right)^5\left(4^{1+2}\right)^4 \\ =1\times(4^3)^4 \\ =4^{12} \end{gathered}[/tex]