which expression is equivalent to 4-2/2^-3
a.-16
b.-8
c.8
d.16

Answer:
First, solve the top and bottom independently:
Top portion - 4-2 = 2
Bottom portion - A number to the negative power (2^-3) is equal to one over the positive power (1/2^3) which also equals 1/8
Combine both portions now: 2/(1/8)
To remove the fraction at the bottom portion, you can multiple both the top portion and bottom portions by 8 which resolves the bottom portion to be 1/8 * 8 = 1 AND the top portion to be 2 * 8 = 16.
Write the resulting equation with both top and bottom portions again and solve: 16/1 = 16
Step-by-step explanation:
Answer: Option D
The numerator = [tex]4-2=2[/tex]
The denominator is: [tex]2^{-3}=0.125[/tex]
So the simplification is:
[tex]\frac{4-2}{2^{-3}}=\frac{2}{0.125}=16[/tex]
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