Answer :
The options are
[tex](A)8^{-1} (B)9^{-2} (C)\dfrac{9^8}{9^4} (D)\frac{9^8}{9^{10}} (E)9^{-6}\cdot 9^3 (F)9^5 \cdot 9^{-7[/tex]
Answer:
[tex](B)9^{-2} \\ (D)\frac{9^8}{9^{10}} \\ (F)9^5 \cdot 9^{-7[/tex]
Step-by-step explanation:
Given the fraction [tex]\dfrac{1}{81}[/tex]
[tex]\dfrac{1}{81}=\dfrac{1}{9^2}=9^{-2[/tex]
Any option that gives a form equivalent to any of the above is valid.
Option B= [tex]9^{-2}[/tex] which is equivalent
In Option D: [tex]\frac{9^8}{9^10}=9^{8-10}=9^{-2}[/tex]
In Option F: [tex]9^5 \cdot 9^{-7}=9^{5-7}=9^{-2}[/tex]
Therefore, Options B, D and F are equivalent.