Simplify 3^(1/4)*3^(1/4)

$3^{\frac{1}{4}} \cdot 3^{\frac{1}{4}}$

Step 1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{\frac{1}{4} + \frac{1}{4}}$

Step 2

Combine the numerators over the common denominator.

$3^{\frac{1 + 1}{4}}$

Step 3

Add $1$ and $1$ .

$3^{\frac{2}{4}}$

Step 4

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2$ .

$3^{\frac{2 (1)}{4}}$

Cancel the common factors.

Factor $2$ out of $4$ .

$3^{\frac{2 \cdot 1}{2 \cdot 2}}$

Cancel the common factor.

$3^{\frac{2 \cdot 1}{2 \cdot 2}}$

Rewrite the expression.

$3^{\frac{1}{2}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$3^{\frac{1}{2}}$

Decimal Form:

$1.73205080 \dots$