Mathematics, 29.06.2019 10:00 kat9490
Simplify the square of 3 times the square root of 3 to the power of 5. a. 3^1/10 b. 3^3/5 c. 3^9/10 d. 3^7/10
Answers: 1
![3^2\cdot\sqrt{3^5}\qquad\text{use}\ \sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\=3^2\cdot3^{\frac{5}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=3^{2+\frac{5}{2}}=3^{\frac{4}{2}+\frac{5}{2}}=3^{\frac{4+5}{2}}=3^{\frac{9}{2}}](/tpl/images/0030/6098/336f4.png)
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Simplify the square of 3 times the square root of 3 to the power of 5. a. 3^1/10 b. 3^3/5 c. 3^9/10...
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