Simplify (3n^(1/4))(2n^(-1/4))

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

Rewrite using the commutative property of multiplication.

$3 \cdot 2 n^{\frac{1}{4}} n^{- \frac{1}{4}}$

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

Move $n^{- \frac{1}{4}}$ .

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

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

$3 \cdot 2 n^{- \frac{1}{4} + \frac{1}{4}}$

Combine the numerators over the common denominator.

$3 \cdot 2 n^{\frac{- 1 + 1}{4}}$

Add $- 1$ and $1$ .

$3 \cdot 2 n^{\frac{0}{4}}$

Divide $0$ by $4$ .

$3 \cdot 2 n^{0}$

Simplify $3 \cdot 2 n^{0}$ .

$3 \cdot 2$

Multiply $3$ by $2$ .

$6$