Respuesta :

smmwaite

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:  The correct option is (C) [tex]\dfrac{5}{y^3}.[/tex]

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

[tex]E=5y^{-3}.[/tex]

We will be using the following property of exponents:

[tex]a^{-n}=\dfrac{1}{a^n}.[/tex]

We have

[tex]E\\\\=5y^{-3}\\\\\\=5\times\dfrac{1}{y^3}\\\\\\=\dfrac{5}{y^3}.[/tex]

Thus, the correct option is (C).

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