# How do you simplify (b^4c^6f^8)/(b^4c^3f^5)?

May 13, 2017

${c}^{3} {f}^{3}$

#### Explanation:

Remember that ${x}^{a} / {x}^{b} = {x}^{a - b}$.

We use this for like terms (so the $b$s together, the $c$s, and the $f$s)

This becomes:

$\frac{{b}^{4} {c}^{6} {f}^{8}}{{b}^{4} {c}^{3} {f}^{5}} = {b}^{4 - 4} {c}^{6 - 3} {f}^{8 - 5} = {c}^{3} {f}^{3}$