# How do you simplify the expression (4a^2)/a?

May 27, 2016

$\frac{4 {a}^{2}}{a} = 4 a$

#### Explanation:

In our calculation there are two letters $a$, two same
variables. Because of that we can use the rule and just simply put numbers and variables from our calculation to equation

${x}^{a} / {x}^{b} = {x}^{a} - {x}^{b}$ $\implies$ $4 {a}^{2} - {a}^{1}$

Now you just subtract $2 - 1$ which is 1. So you keep one $a$. That means $4 {a}^{2} - {a}^{1} = 4 a$

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Rule of one: ${a}^{1}$ and $a$ are same, we usually don't write $^ 1$.
${a}^{1} = a$