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

A. 16f^3/3
B. f/3
C. 3/16f^3
D. 3/f

User Wurdalack
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5.9k points

2 Answers

5 votes
16f^ 1/3 that’s the answer
User Yash Sodha
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5.7k points
4 votes

Answer:

16 / f^ 1/3

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

User Phihag
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5.2k points