Which expression is equivalent to (4f^2/3) / (1/4f)

A. 16f^3/3

B. f/3

C. 3/16f^3

D. 3/f

16 / f^ 1/3

Step-by-step explanation:

(4f^2/3) / (1/4f)

Divide the numbers

4 / 1/4

copy dot flip

4 * 4/1 = 16

Then use the rule of exponents on the variables

f ^2/3 : f

We know that a^b / a^c = a^ (b-c)

f ^ (2/3 - 1) = f^ (-1/3)

We know that a^ - b = 1 / a^b

f^ - 1/3 = 1 / f^1/3

16 / f^ 1/3

16f^ 1/3 that's the answer