Respuesta :
Answer:
Hence, the equivalent value of the expression is:
[tex]r^{-6}=\dfrac{1}{r^6}[/tex]
Step-by-step explanation:
We have to evaluate the algebraic expression in terms of variable 'r' as:
[tex]\dfrac{r^{-9}}{r^{-3}}[/tex]
Now we know that the expression:
[tex]\dfrac{a^m}{a^n}[/tex] is evaluated as:
[tex]a^{m-n}[/tex]
Here we have:
m=-9 and n=-3.
Hence, we have:
[tex]r^{-9(-3)}\\\\r^{-9+3}\\\\=r^{-6}[/tex]
Hence, the equivalent value of the expression is:
[tex]r^{-6}=\dfrac{1}{r^6}[/tex]
