# How do you simplify (q^33/4)/q^8?

Oct 28, 2015

It simplifies to ${q}^{24} / 4$.

#### Explanation:

First, you divide the numerator $\left({q}^{33} / 4\right)$ with the denominator
$\left({q}^{8}\right)$. Remember, dividing fractions is the same thing as multiplying it with it's reciprocal. $\left({q}^{8}\right)$ is the same thing as $\frac{{q}^{8}}{1}$. So:

$\left({q}^{33} / 4\right)$ $\cdot \left(\frac{1}{{q}^{8}}\right)$ = $\left({q}^{33} / \left(4 {q}^{8}\right)\right)$

When you are dividing same variables (in this case, q), that have exponents, you can simplify them by subtracting their exponents. 33 - 8 = 24, so the final answer is ${q}^{24} / 4$.