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mart [117]
3 years ago
13

Which expressions are equivalent to StartFraction 1 Over 81 EndFraction? Check all that apply.

Mathematics
1 answer:
Anastaziya [24]3 years ago
7 0

The options are

(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

Answer:

(B)9^{-2} \\ (D)\frac{9^8}{9^{10}} \\ (F)9^5 \cdot 9^{-7

Step-by-step explanation:

Given the fraction \dfrac{1}{81}

\dfrac{1}{81}=\dfrac{1}{9^2}=9^{-2

Any option that gives a form equivalent to any of the above is valid.

Option B= 9^{-2} which is equivalent

In Option D: \frac{9^8}{9^10}=9^{8-10}=9^{-2}

In Option F: 9^5 \cdot 9^{-7}=9^{5-7}=9^{-2}

Therefore, Options B, D and F are equivalent.

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