# How do you simplify (10xy^4z^3)(3x^4y^6z^3)?

Jan 25, 2017

See the entire simplification process below:

#### Explanation:

First, group like terms together:

$\left(10 \times 3\right) \left(x \times {x}^{4}\right) \left({y}^{4} \times {y}^{6}\right) \left({z}^{3} \times {z}^{3}\right)$

Next, use these two rules for exponents to combine the like terms:

$a = {a}^{\textcolor{red}{1}}$

${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

$\left(10 \times 3\right) \left({x}^{\textcolor{red}{1}} \times {x}^{4}\right) \left({y}^{4} \times {y}^{6}\right) \left({z}^{3} \times {z}^{3}\right)$

$30 {x}^{\textcolor{red}{1} + 4} {y}^{4 + 6} {z}^{3 + 3}$

$30 {x}^{5} {y}^{10} {z}^{6}$