# How do you simplify (c^4d^4f^3)/(c^2d^4f^3)?

Sep 29, 2017

The answer is ${c}^{2}$.

#### Explanation:

The first thing to take note is that you have several variables (namely, $c$, $d$. and $f$). Using the exponential law

$\frac{{a}^{n}}{{a}^{m}} = {a}^{n - m}$

we have

$\left[{c}^{4 - 2}\right] \left[{d}^{4 - 4}\right] \left[{f}^{3 - 3}\right]$

Further applying the law

${a}^{0} = 1$

the variables $f$ and $d$ are equivalent to $1$. As such, you are left with

${c}^{2} \cdot 1 \cdot 1$

which is equal to ${c}^{2}$.