Question

Which expression is equivalent to 5y^-3?

Answer 1

Answer

5/y³

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

Answer 2

Answer:  The correct option is (C) $\dfrac{5}{y^3}.$

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:

$a^{-n}=\dfrac{1}{a^n}.$

We have

$E\\\\=5y^{-3}\\\\\\=5\times\dfrac{1}{y^3}\\\\\\=\dfrac{5}{y^3}.$

Thus, the correct option is (C).