Armune
Answered

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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.

Sagot :

apologiabiology
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
[tex] \frac{x^n}{x^m}=x^{n-m} [/tex]
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
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