Represent the following expressions as a power of the number a (a≠0): (a^3·a÷a^2)^−1

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asked Apr 6, 2021 73.8k views

1 Answer

Luis Pereira · Answer 1 · 2021-04-09T11:37:49+0000

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$({ {a}^(3) * a / {a}^(2) })^( - 1) =$

$( { {a}^(3 + 1) * {a}^( - 2) })^( - 1) =$

$({ {a}^(4 - 2) })^( - 1) = ({ {a}^(2) })^( - 1) = {a}^((2)( - 1)) = \\$

${a}^( - 2)$

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