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17 October, 06:23

Which expression is equivalent to (4p^-4q) ^-2/10pq^-3? Assume p and q do not equal 0. A. 25p^10/4q^8 B. 2q/5p^5 C. p^7q/160 D. 125p^11q/2

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  1. 17 October, 06:53
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    The equivalent expression to

    (4p^-4q) ^-2/10pq^-3

    = (4^-2p^ (-4*-2) q^-2) / (10pq^-3)

    = (4^-2p^8q^-2) / (10pq^-3)

    =[p^8q^-2/16]/[10pq^-3]

    =p^7q/160

    Answer: C] p^7q/160
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