# How do you simplify -5^-3?

##### 1 Answer
Apr 15, 2016

$- 0.008$

#### Explanation:

color(blue)(-5^-3

Use the rule of exponents

color(brown)(x^-y=1/x^y

If you don't know what an exponents means

See this

color(brown)(x^y=underbrace(x*x*x*x*x..)_("y times")

Now start to simplify

$\rightarrow {5}^{-} 3 = \frac{1}{-} {5}^{3}$

$\rightarrow \frac{1}{\left(- 5\right) \left(- 5\right) \left(- 5\right)}$

If you want to know how to multiply numbers with different signs

Watch

$\rightarrow \frac{1}{-} 125$

color(green)(rArr-0.008