Question

Compute the exact value of the function for the given x-value without using a calculator. (5 points) f(x) = (1/4)^x for x = -3 a 64 b -12 c 1/64 d -1/64

Answer 1

D. -1/64

Explanation:

F(x) = (1/4)^-3

This is 1/4 to the power of -3

= -(1/4)*(-1/4)*(-1/4)

= -(1*1*1)/(4*4*4)

= -1/64

Another way to calculate this is (-1/4)*(-1/4)*(-1/4). This is the same as (-1/4)³

When solved out the solution = -1/64

Therefore the correct answer to this question is the last option, which is d.

Thank you.