Mathematics, 28.06.2019 03:00 baileyann3342
Rewrite the rational exponent as a radical.(5*3/4 power)2/3 power
Answers: 1
![Use:\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\(a^n)^m=a^{nm}\\\\\left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}=5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^{\frac{1}{2}}=\sqrt[2]{5}=\boxed{\sqrt5}](/tpl/images/0025/6479/fbb32.png)
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