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svet-max [94.6K]
2 years ago
9

Please solve this question​

Mathematics
1 answer:
oee [108]2 years ago
4 0

Answer:

\frac{1}{81}

Step-by-step explanation:

Using the rule of exponents

a^{-m} ⇔ \frac{1}{a^{m} }

Evaluating from the inside parenthesis outwards

(-\frac{1}{3}) ^{2} = - \frac{1}{3} × - \frac{1}{3} = \frac{1}{9} , then

(\frac{1}{9}) ^{-2} = \frac{1}{9^{-2} } = 9² = 81 , then

(81)^{-1} = \frac{1}{81}

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