Simplify 10^(1/4)*10^(-1/4)

$10^{\frac{1}{4}} \cdot 10^{- \frac{1}{4}}$

Multiply $10^{\frac{1}{4}}$ by $10^{- \frac{1}{4}}$ by adding the exponents.

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

$10^{\frac{1}{4} - \frac{1}{4}}$

Combine the numerators over the common denominator.

$10^{\frac{1 - 1}{4}}$

Subtract $1$ from $1$ .

$10^{\frac{0}{4}}$

Divide $0$ by $4$ .

$10^{0}$

Simplify $10^{0}$ .

$1$