How do you simplify $\frac{10 x^{2} y}{10 x^{2} y}$ $(10x^2y)/(10x^2y)$ ?

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Answer 1 · 2015-07-10T06:24:44

$\frac{10 x^{2} y}{10 x^{2} y} = 1$ $(10x^2y)/(10x^2y) = 1$ with exclusions $x \neq 0$ $x != 0$ and $y \neq 0$ $y != 0$

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

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

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

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

How do you simplify (10x^2y)/(10x^2y)10x2y10x2y(10x^2y)/(10x^2y)?