# What is y to the fourth power over y?

## ${y}^{4} / y$

Apr 18, 2018

${y}^{3}$

#### Explanation:

Recall that two terms with the same base and different exponents can be simplified as follows:

${x}^{a} / {x}^{b} = {x}^{a - b}$, IE, we just subtract the exponents.

So,

${y}^{4} / y = {y}^{4} / {y}^{1} = {y}^{4 - 1} = {y}^{3}$