Question

Which expression is equivalent to 5y^-3?

A. 1/125y^3
B. 1/5y^3
C. 5/y^3
D. 125/y^3

Answer 1

Answer: The correct option is (C)
`(5)/(y^3).`

Step-by-step explanation: We are to select the correct expression that is equivalent to the following expression:

`E=5y^(-3).`

We will be using the following property of exponents:

`a^(-n)=(1)/(a^n).`

We have

`E\\\\=5y^(-3)\\\\\\=5*(1)/(y^3)\\\\\\=(5)/(y^3).`

Thus, the correct option is (C).

Answer 2

5/y³

Step-by-step explanation

Which expression is equivalent to 5y⁻³

A negative power means that that number is in the denominator.

For example, a⁻¹ = 1/a

x⁻³ = 1/x³

∴ 5y⁻³ = 5/y³