# How do you simplify (x^3y^2z^6)/(z^5x^2y)?

May 10, 2018

$x y z$

#### Explanation:

When you divide exponents with the same base, you simply subtract the exponents. So subtract the indices of each variable at a time:
${x}^{3} \div {x}^{2} = x \text{ } \left(3 - 2 = 1\right)$
${y}^{2} \div y = y \text{ } \left(2 - 1 = 1\right)$
${z}^{6} \div {z}^{5} = z \text{ } \left(6 - 5 = 1\right)$

This was pretty easy since there were no negatives.

(You always subtract the top number/numerator minus bottom number/denominator)

$x y z$.