Question

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

Answer 1

The answer would be r6

Answer 2

Hence, the equivalent value of the expression is:

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

Explanation:

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

`(r^(-9))/(r^(-3))`

Now we know that the expression:

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