Respuesta :

For this case we must find an expression equivalent to[tex]6 ^ {- 3}[/tex]

By definition of power properties we have to:

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

So, we can rewrite the given expression as:

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

This is equivalent to:

[tex](\frac {1} {6}) ^ 3[/tex]

Answer:

Option D

Answer:

The correct answer option is D. ( 1 / 6 ) ^ 3.

Step-by-step explanation:

We are given the following expression and we are to determine whether which of the given answer options is equivalent to this:

[tex] 6 ^ { - 3 } [/tex]

Rewriting this as a fraction to get:

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

Therefore, the correct answer option is D. ( 1 / 6 ) ^ 3.