Answer:
6[tex]x^{\frac{5}{6} }[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
3[tex]x^{\frac{1}{3} }[/tex] × 2[tex]x^{\frac{1}{2} }[/tex]
= (3 × 2) × [tex]x^{\frac{1}{3}+\frac{1}{2} }[/tex]
[ Calculate the fraction sum
[tex]\frac{1}{3}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{2}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{5}{6}[/tex] ]
= 6[tex]x^{\frac{5}{6} }[/tex]
