# How do you simplify (10x^2y)/(10x^2y)?

Jul 10, 2015

$\frac{10 {x}^{2} y}{10 {x}^{2} y} = 1$ with exclusions $x \ne 0$ and $y \ne 0$

#### Explanation:

$\frac{a}{a} = 1$ for all numbers $a$ except $0$.

$\frac{0}{0}$ is undefined.

So if we let $a = 10 {x}^{2} y$, then $\frac{a}{a} = \frac{10 {x}^{2} y}{10 {x}^{2} y} = 1$

except when $10 {x}^{2} y = 0$, which occurs when $x = 0$ or $y = 0$