Answer:
11.85
Step-by-step explanation:
(3^1\4) = [tex]3^{\frac{1}{4} }[/tex]
(3^2) = [tex](3)^{2}[/tex]
Applying the law of indices,
[tex]a^{m}[/tex] x [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]3^{\frac{1}{4} }[/tex] x [tex]3^{2}[/tex] = [tex]3^{\frac{1}{4} + 2}[/tex]
= [tex]3^{\frac{9}{4} }[/tex]
= [tex]\sqrt[4]{3^{9} }[/tex]
= [tex]\sqrt[4]{19683}[/tex]
= 11.8445
≅ 11.84
