# How do you simplify  (-2x^-5) x^7?

Jul 1, 2016

$= - 2 {x}^{2}$

#### Explanation:

the above $\left(- 2 {x}^{- 5}\right) {x}^{7}$ can be written like this :

$= - 2 \cdot {x}^{- 5} \cdot {x}^{7}$]

{so here we have two identical variables and they are being multiplied so we will add there exponents like this}

$= 2 \cdot {x}^{- 5 + 7}$

$= - 2 \cdot {x}^{2}$

$= - 2 {x}^{2}$

{remember when same variables with different exponents are multiplies there exponents are added and when they are divided there exponents are subtracted}