Question

The topic of the worksheet is called Evaluate the Expressions

the problem i have to answer is (-8)^3 divided by 2^3 ?
how do i solve this.

Answer 1

one way to do this is to fully expand the exponents:
(-8)^3=-8 times -8 times -8=-512
2^3=8
-512/8=-64

the other way that you are supposed to do it is
factor
-8=-1 times 2^3
(-8)^3=-1 times (2^3)^3=-1 times 2^9
when dividing exponents, subtract

`(x^n)/(x^m)=x^(n-m)`
put the -1 to the side
(-1/1) times (2^9)/(2^3)=(-1/1) times 2^(9-3)=(-1/1) times 2^6=-1 times 64=-64