Question

1. Simplify the following expression usingexpansion or exponent laws (keep answerin exponential form)

Answer 1

We need to solve:

`(4^5\cdot4^3)/(4^2)`

When we multiply powers with the same base we can mantain the base and add the expoents. When we divide powers with the same base we can mantain the base and subtract the expoents. With this in mind we can simplify the expression.

`\begin{gathered} (4^(5+3))/(4^2) \\ (4^8)/(4^2) \\ 4^{8-2^{}} \\ 4^6 \end{gathered}`

The expression simplified is equal to 4^6.