Mathematics
Aleo171
2021-09-15 15:12:45
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.
ANSWERS
Angelina1121
2021-09-15 21:02:15

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 [latex] frac{x^n}{x^m}=x^{n-m} [/latex] 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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