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I don't know how to "Simplify the expression of (3 ^1\4) * (3^2) " specifically to demonstrate the product of powers property (and show any steps I used too)

Answer :

olayemiolakunle65

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

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