Question

Which expression is equivalent to 5y^3/(5y)^-2?

a. y^5
b. y^6
c. 125y^3
d. 125y^5

Answer 1

I think the answer is D.

Explanation:

`\frac{ {5y}^(3) }{ {(5y)}^( - 2) } \\ = \frac{ {5y}^(3) }{ {((1)/(5y))}^(2) } \\ = {5y}^(3) * {25y}^(2) \\ = 125 {y}^(5)`