Mathematics, 27.06.2019 15:30 jazzlashayy1487
Simplify (√3)(^5√3) a. 3^1/10 b. 3^3/5 c. 3^9/10 d. 3^7/10
Answers: 1
![\sqrt[n]{a}=a^{\frac{1}{n}}\\\\\text{Therefore}\\\\\sqrt3=3^\frac{1}{2}\\\\\sqrt[5]{3}=3^\frac{1}{5}\\\\\text{We have}\\\\(\sqrt3)(\sqrt[5]3)=3^\frac{1}{2}\cdot3^\frac{1}{5}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=3^{\frac{1}{2}+\frac{1}{5}}=3^{\frac{5}{10}+\frac{2}{10}}=3^{\frac{7}{10}}\\\\\ \boxed{D.\ 3^{\frac{7}{10}}}](/tpl/images/0023/7919/a1feb.png)
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Simplify (√3)(^5√3) a. 3^1/10 b. 3^3/5 c. 3^9/10 d. 3^7/10...
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