# How do you simplify (15d^4g^5)/(-3dg)?

Jun 24, 2018

The answer is $- 5 {d}^{3} {g}^{4}$. See below for an explanation!

#### Explanation:

Let's remind ourselves of a key exponent rule:

${a}^{b} / {a}^{c} = {a}^{b - c}$

Using this, we can get rid of the variables in the denominator:

${d}^{4} / d = {d}^{4 - 1} = {d}^{3}$
${g}^{5} / g = {g}^{5 - 1} = {g}^{4}$

We now have $\frac{15 {d}^{3} {g}^{4}}{-} 3$. All we have to do is divide by $- 3$ to get our final answer, $- 5 {d}^{3} {g}^{4}$.

Hope this helps!