Question

Which expression is equivalent to r to the 9th over r to the 3rd

Answer 1

`r^(6)`

Explanation:

To make this a bit easier to see, we'll expand that expression.

R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.

(excuse my bad formatting)

The expression:

r • r • r • r • r • r • r • r • r • 1

r • r • r • 1

Remember, anything and everything has a coefficient or denominator of 1.

So, we can cancel 3 r's from the numerator and denominator.

r • r • r • r • r • r • 1

1

Simplify....

`(1r^(6))/(1)`

That just equals
`r^(6)`.