Answer:
[tex]\frac{1}{r^{42} }[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^{m}) ^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Given
[tex](r^{-7}) ^{6}[/tex]
= [tex]r^{-7(6)}[/tex]
= [tex]r^{-42}[/tex]
= [tex]\frac{1}{r^{42} }[/tex]
