aaronas1105owi3jw aaronas1105owi3jw
  • 18-09-2018
  • Mathematics
contestada

n^3 = n? × n^-3


What is the substitute for the question mark?

Respuesta :

frika
frika frika
  • 18-09-2018

You have the expression

[tex]n^3=n^{?}\cdot n^{-3}[/tex]

and want to find ?.

First, note the property

[tex]n^m\cdot n^k=n^{m+k}.[/tex]

Using this property, you can write

[tex]n^{?}\cdot n^{-3}=n^{?+(-3)}=n^{?-3}.[/tex]

If

[tex]n^3=n^{?-3},[/tex]

then

[tex]3=?-3,\\ \\?-3=3,\\ \\?=3+3,\\ \\?=6.[/tex]

Answer: 6.


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