Question

How do you simplify `\frac{4^{2} x^{5}}{4^{5} x^{- 2}}`?

Answer 1

`(x^(7)) / (64)`

Explanation:

We have: `(4^(2) x^(5)) / (4^(5) x^(- 2))`

Using the laws of exponents:

`= 4^(2 - 5) x^(5 - (- 2))`

`= 4^(- 3) x^(5 + 2)`

`= (x^(7)) / (4^(3))`

`= (x^(7)) / (64)`