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(3³ . 5²)/1/1/2 ÷ ((3² . 5)/1/1/2² . 2²/3 . 5)
3³ . 5² . 2 ÷ (3² . 5 . 2² . (2²/3 . 5))
3³ . 5² . 2 ÷ (3² . 5 . 2^4)/(3 . 5)
3³ . 5² . 2 ÷ 3^(2-1) . 5(1-1) . 2^4
3³ . 5² . 2 ÷ 3 . 1 . 2^4
3³ . 5² . 2
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3 . 2^4
3^(3-1) . 5² . 2^(2-4)
3² . 5² . 2^(-2)
3² . 5² . (1/2²)
3² . 5²
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2²