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Could someone explain the answer in step by step


(5^2*2^4)^2(5^(-2)*2^5)\\Answer: 2^(13) * 5^4

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( { {5}^(2) * {2}^(4) })^(2) ( {5}^( - 2) * {2}^(5) ) =


{5}^(2 * 2) * {2}^(4 * 2) * {5}^( - 2) * {2}^(5) =


{5}^(4) * {2}^(8) * {5}^( - 2) * {2}^(5) =


{5}^(4) * {5}^( - 2) * {2}^(8) * {2}^(5) =


{5}^(4 + ( - 2)) * {2}^(8 + 5) =


{5}^(4 - 2) * {2}^(13) =


{5}^(2) * {2}^(13) =


{2}^(13) * {5}^(2)

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User Timothee W
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