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15 votes
Express (27m)^2/3 in its most simplified form.

User Henok T
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2 Answers

22 votes
22 votes
(27m) ^2/3 hope this helps
User Justin Khoo
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15 votes
15 votes

Answer:


{(27m)}^{ (2)/(3) } \\ \\ = {(3 {}^(3)m) }^{ (2)/(3) } \\ \\ = ( {3}^(3) ) {}^{ (2)/(3) } * {m}^{ (2)/(3) } \\ \\ = {3}^{ (6)/(3) } * {m}^{ (2)/(3) } \\ \\ = {3}^(2) * {m}^{ (2)/(3) } \\ \\ = 9 {m}^{ (2)/(3) } \\ \\ = 9 \sqrt[3]{ {m}^(2) }

User Nivedha Senthil
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