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