Question

4^2/4^6

Options:
4^-3
4^3
4^-4
4^4

Answer 1

Hello!

The rule regarding the division of exponents states the following:

=

Insert any known values into the formula above:

=

Simplify the expression:

=

We have now proven that is equal to .

I hope this helps!

Explanation:

Answer 2

Hello!

The rule regarding the division of exponents states the following:


`( B^(x) )/( B^(y) )` =
`B^(x-y)`

Insert any known values into the formula above:


`( 4^(2) )/( 4^(6) )` =
`4^(2-6)`

Simplify the expression:


`4^(2-6)` =
`4^(-4)`

We have now proven that
`( 4^(2) )/( 4^(6) )` is equal to
`4^(-4)`.

I hope this helps!