Lets use algebra and simplify:
[tex]\frac{\frac{4f^{2}}{3}}{\frac{1}{4f}} \\=\frac{4f^{2}}{3}* \frac{4f}{1} \\=\frac{16f^{3}}{3}[/tex]
Note in the above steps: dividing by a fraction is same as multiplying by its reciprocal
The first answer choice is the correct one.
ANSWER: [tex]\frac{16f^{3}}{3}[/tex]
The expression that is equal to 4f^2/3 divided 1/4f is [tex]\dfrac{16f^3}{3}[/tex].
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
4f^2/3 divided 1/4f
In order to solve the given problem, we will use the properties of exponents, therefore,
[tex]\dfrac{\dfrac{4f^2}{3}}{\dfrac{1}{4f}}\\\\\\= {\dfrac{4f\times 4f^2}{3}\\\\[/tex]
[tex]= {\dfrac{16(f^2 \cdot f^{1})}{3}[/tex]
[tex]= \dfrac{16f^{2+1}}{3}[/tex]
[tex]=\dfrac{16f^3}{3}[/tex]
Hence, the expression that is equal to 4f^2/3 divided 1/4f is [tex]\dfrac{16f^3}{3}[/tex].
Learn more about Expression:
https://brainly.com/question/13947055
