# How do you simplify ((7c^2)(-6c^3))/(21c^4) and what are the excluded values for the variables?

$- 2 c$

#### Explanation:

Given that

$\setminus \frac{\left(7 {c}^{2}\right) \left(- 6 {c}^{3}\right)}{21 {c}^{4}}$

$= - \setminus \frac{7 \setminus \cdot 6}{21} \left({c}^{2 + 3 - 4}\right)$

$= - 2 c$

Jul 2, 2018

Multiply the numbers together and add the powers

$\frac{- 42 {c}^{5}}{21 {c}^{4}}$

Divide by 21

$\frac{- 2 {c}^{5}}{c} ^ 4$

Divide by ${c}^{4}$ (subtract the powers)

-2c