Question

How do you simplify `4^7/4^5`?

Answer 1

16

Explanation:

First, we can use the rule of exponents which states:

`color(blue)(x)^color(red)(a) / color(blue)(x)^color(red)(b) = color(blue)(x)^color(red)(a - b)`

So,

`color(blue)(4)^color(red)(7) / color(blue)(4)^color(red)(5) = color(blue)(4)^color(red)(7 - 5) = color(blue)(4)^color(red)(2) = color(blue)(4) * color(blue)(4) = 16`