# How do you simplify ( -64 + 4*4 ) ^ 3?

Mar 11, 2018

(-64+4*4)^3=color(blue)(-110592

#### Explanation:

Follow the order of operations as indicated by the acronym PEMDAS:

Parentheses/brackets
Exponents/Powers
Multiplication and Division in order from left to right.
Addition and Subtraction in order from left to right.

Simplify:

${\left(- 64 + 4 \cdot 4\right)}^{3}$

First simplify the parentheses.

Multiply $4 \cdot 4$ first.

${\left(- 64 + 16\right)}^{3}$

Add $- 64 + 16$.

${\left(- 48\right)}^{3}$

Cube $- 48$.

$- 110592$

${\left(- 64 + 4 \cdot 4\right)}^{3} = - 110592$