Respuesta :

Do you have any options of the equivalent expressions or is it just a plan question that you just asked?



For this case we have that by definition of power properties we have to:

[tex]a ^ {- b} = \frac {1} {a ^ b}[/tex]

So, we can write [tex]6 ^{- 3}[/tex]as an equivalent expression:

[tex]6 ^ {-3} = \frac {1} {6 ^ 3}[/tex]

We know that, by definition:

[tex]a ^ n[/tex]represents the multiplication of "a" n times.

So, we have:

[tex]6 ^ 3 = 6 * 6 * 6\\6 ^ {- 3} = \frac {1} {6 ^ 3} = \frac {1} {6 * 6 * 6}[/tex]

Answer:

[tex]6 ^ {- 3} = \frac {1} {6 ^ 3} = \frac {1} {6 * 6 * 6}[/tex]