Answer:
Step-by-step explanation:
[tex]\frac{1}{2}+\frac{1}{3}=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\= \frac{3}{6}+\frac{2}{6}\\\\= \frac{5}{6}[/tex]
[tex]a^{m}*a^{n} = a^{m+n}[/tex]
[tex]\sqrt{5}*\sqrt[3]{5}=5^{\frac{1}{2}} * 5^{\frac{1}{3}}\\\\= 5^{\frac{1}{2}+\frac{1}{3}}\\\\= 5^{\frac{5}{6}}\\\\= \sqrt[6]{5^{5}}[/tex]
