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

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

Multiply $1^{\frac{1}{4}}$ by $1^{\frac{1}{4}}$ by adding the exponents.

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $1$ .

$1^{\frac{2}{4}}$

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

Factor $2$ out of $2$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

One to any power is one.

$1$