Question

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

Answer 1

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: