Question

Which expression is equivalent to r-9/r-3

Answer 1

The answer would be r6

Answer 2

Answer:

Hence, the equivalent value of the expression is:

$r^{-6}=\dfrac{1}{r^6}$

Step-by-step explanation:

We have to evaluate the algebraic expression in terms of variable 'r' as:

$\dfrac{r^{-9}}{r^{-3}}$

Now we know that the expression:

$\dfrac{a^m}{a^n}$ is evaluated as:

$a^{m-n}$

Here we have:

m=-9 and n=-3.

Hence, we have:

$r^{-9(-3)}\\\\r^{-9+3}\\\\=r^{-6}$

Hence, the equivalent value of the expression is:

$r^{-6}=\dfrac{1}{r^6}$