Which of the following expressions is equivalent to 4 to the power of negative 3.
A. 1/-4 to the power of negative 3
B. negative 4 to the power of negative 3
C. 1/4 to the power of 3
D. 1/-4 to the power of 3

c)

Step-by-step explanation:

1/4³ is the same as 4-³

a fraction is positive, while an exponent in a number negative

e.g.2⁵ is 1 divided by 2-⁵

1/2-⁵

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)