# How do you simplify 3- sqrt[81]+(-2)^3?

Apr 7, 2018

$- 14$

Here's how I did it:

#### Explanation:

$3 - \sqrt{81} + {\left(- 2\right)}^{3}$

First, we know that ${\left(- 2\right)}^{3}$ is the same thing as:
$\left(- 2\right) \left(- 2\right) \left(- 2\right) \implies \left(4\right) \left(- 2\right) \implies - 8$

Let's put this back into the expression:
$3 - \sqrt{81} + \left(- 8\right)$

$3 - \sqrt{81} - 8$

$- 5 - \sqrt{81}$

We also know that $\sqrt{81} = 9$, so:
$- 5 - 9 = - 14$

Hope this helps!