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Question
Simplify and express the Solution in the positive exponent form:
`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`
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Solution
`(36 xx (-6)^2 xx 3^6)/(12^3 xx 3^5)`
`= (6 xx 6 xx (-6)^2 xx 3^6)/(3^3 xx 4^3 xx 3^5)`
`= ((6)^2 (-6)^2 xx 3^(6-3-5))/4^3`
`= ((6)^2 (-6)^2 3^-2)/4^3`
`= (6^2 (-6)^2)/(3^2 xx 4^3)`
`= (6 xx 6 xx -6 xx -6)/(3 xx 3 xx 4 xx 4 xx 4)`
`= 9/4 = (3/2)^2`
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