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:

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