Question

Evaluate the expression: 3 / ∛(25x³)

A) 3∛(25x³)
B) 3∛(x³/25)
C) 3∛(25/x³)
D) 3∛(25x⁴)

Answer 1

To evaluate the expression 3 / ∛(25x³), simplify step by step by cubing the term inside the cube root, substituting it back into the expression, and dividing 3 by 5x. The answer is 3/(5x).

Step-by-step explanation:

To evaluate the expression 3 / ∛(25x³), we can simplify it step by step:

1. First, cube the term inside the cube root: ∛(25x³) = ∛25x³ = 5x.
2. Now, substitute the simplified term back into the expression: 3 / 5x.
3. Finally, simplify the expression further by dividing 3 by 5x: 3 / 5x = 3/(5x).

Therefore, the correct answer is 3/(5x), which corresponds to option B.