Mathematics, 13.09.2021 01:00 luisgonz5050
Express (27m)^2/3 in its most simplified form.
Answers: 3
![{(27m)}^{ \frac{2}{3} } \\ \\ = {(3 {}^{3}m) }^{ \frac{2}{3} } \\ \\ = ( {3}^{3} ) {}^{ \frac{2}{3} } \times {m}^{ \frac{2}{3} } \\ \\ = {3}^{ \frac{6}{3} } \times {m}^{ \frac{2}{3} } \\ \\ = {3}^{2} \times {m}^{ \frac{2}{3} } \\ \\ = 9 {m}^{ \frac{2}{3} } \\ \\ = 9 \sqrt[3]{ {m}^{2} }](/tpl/images/2462/3865/adec5.png)
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