annaebrown2807 annaebrown2807
  • 04-06-2020
  • Mathematics
contestada

Simplify.

Rewrite the expression in the form y^n

y^-4•y^3

Respuesta :

lyndalau86
lyndalau86 lyndalau86
  • 04-06-2020

Answer:

[tex]y^{-1}[/tex]

Step-by-step explanation:

This question is asking us to rewrite the original expression it in the form [tex]y^n[/tex]

First we have

[tex](y^{-4} )y^3[/tex]

By the law of exponents we know that when we are multiplying expressions that have the same base, we need to add up the exponents.

Thus, this would mean that, in order to multiply this expression, we need to sum up the exponents so we have:

[tex]-4+3=-1[/tex]

Thus, this expression can be rewritten as:

[tex](y^{-4} )y^3=y^{-4+3} =y^{-1}[/tex]

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