Question

Simplify to a single power.4 to the power of 74 to the power of 2

Answer 1

Given: The expression below:

`(4^7)/(4^2)`

To Determine: The simplification of the given expression

Using the exponet rule below

`(a^x)/(a^y)=a^(x-y)`

Apply the exponent rule to the given statement

`\begin{gathered} (4^7)/(4^2)=4^(7-2) \\ 4^(7-2)=4^5 \end{gathered}`

Hence, the simplification of the given expression to a single power is

4⁵