Question

Witch expression is equivalent to 6^-3

Answer 1

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

Answer 2

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

`a ^ {- b} = \frac {1} {a ^ b}`

So, we can write
`6 ^(- 3)`as an equivalent expression:

`6 ^ {-3} = \frac {1} {6 ^ 3}`

We know that, by definition:

`a ^ n`represents the multiplication of "a" n times.

So, we have:

`6 ^ 3 = 6 * 6 * 6\\6 ^ {- 3} = \frac {1} {6 ^ 3} = \frac {1} {6 * 6 * 6}`

Answer:

`6 ^ {- 3} = \frac {1} {6 ^ 3} = \frac {1} {6 * 6 * 6}`