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Mathematics 13 Online
OpenStudy (aurorab):

Rewrite the rational exponent as a radical.

OpenStudy (jdoe0001):

keep in mind that \(\bf \huge a^{\frac{n}{m}} = \sqrt[m]{a^n}\)

OpenStudy (aurorab):

\[(5_{4}^{3}) _{3}^{2}\]

OpenStudy (jdoe0001):

\(\bf \huge \left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\)

OpenStudy (aurorab):

3x2=6 and 4x3=12 so then what would you do?! >.<

OpenStudy (jdoe0001):

.... so.... \(\bf \cfrac{3}{4}\cdot \cfrac{2}{3}\implies \cfrac{6}{12}\) <--- can we simplify that rational?

OpenStudy (aurorab):

1/2

OpenStudy (jdoe0001):

\(\Large \bf \left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}\implies 5^{\frac{3}{4}\cdot \frac{2}{3}}\implies 5^{\frac{6}{12}}\implies 5^{\frac{1}{2}}\implies \sqrt[2]{5^1}\implies \sqrt{5}\)

OpenStudy (aurorab):

kewl thanks for you help!! :)

OpenStudy (jdoe0001):

yw

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