Question

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 1

Answer:

11.85

Step-by-step explanation:

(3^1\4) = $3^{\frac{1}{4} }$

(3^2) = $(3)^{2}$

Applying the law of indices,

$a^{m}$ x $a^{n}$ = $a^{(m+n)}$

$3^{\frac{1}{4} }$  x  $3^{2}$ = $3^{\frac{1}{4} + 2}$

        =  $3^{\frac{9}{4} }$

       = $\sqrt[4]{3^{9} }$

       = $\sqrt[4]{19683}$

       =  11.8445

       ≅ 11.84