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

1 Answer
Mar 11, 2018

Answer:

#(-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:

#(-64+4*4)^3#

First simplify the parentheses.

Multiply #4*4# first.

#(-64+16)^3#

Add #-64 +16#.

#(-48)^3#

Cube #-48#.

#-110592#

#(-64+4*4)^3=-110592#