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Question
Express the following rational numbers with a positive exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2}\]
Sum
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Solution
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2} \]
\[ = \left( \frac{3}{2} \right)^{4 \times - 2} \]
\[ = \left( \frac{3}{2} \right)^{- 8} \]
\[ = \left( \frac{2}{3} \right)^8\] → ((am)n = amn)
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