Answer:
[tex]\dfrac{1}{\sqrt{3}}[/tex]
Step-by-step explanation:
Evaluate: [tex]3^{\frac{1}{6}} \times 3^{-\frac{2}{3}}[/tex]
Apply exponent rule: [tex]a^b \times a^c=a^{b+c}[/tex]
[tex]\begin{aligned} \implies 3^{\frac{1}{6}} \times 3^{-\frac{2}{3}}&=3^{\frac{1}{6}-\frac{2}{3}}\\ &=3^{-\frac{1}{2}\end{aligned}[/tex]
Apply exponent rule: [tex]a^{-n}=\dfrac{1}{a^n}[/tex]
[tex]\implies 3^{-\frac{1}{2}}=\dfrac{1}{3^{\frac{1}{2}}}=\dfrac{1}{\sqrt{3}}[/tex]
