Question

What expression is equivalent to (4-3)^5 X (4*4^2)^4

Answer 1

`4^(12)`

Step-by-step explanation:

Given the expression:

`\left(4-3\right)^5\left(4*4^2\right)^2`

To determine an equivalent expression, we start by simplifying the terms in the braket.

`\begin{gathered} \left(4-3\right)^5\left(4*4^2\right)^4​=\left(1\right)^5\left(4^(1+2)\right)^4​ \\ =1*(4^3)^4 \\ =4^(12) \end{gathered}`