Simplify (6x^(1/m))(2x^(1/2))

$(6 x^{\frac{1}{m}}) (2 x^{\frac{1}{2}})$

Step 1

Rewrite using the commutative property of multiplication.

$6 \cdot 2 x^{\frac{1}{m}} x^{\frac{1}{2}}$

Step 2

Multiply $x^{\frac{1}{m}}$ by $x^{\frac{1}{2}}$ by adding the exponents.

Move $x^{\frac{1}{2}}$ .

$6 \cdot 2 (x^{\frac{1}{2}} x^{\frac{1}{m}})$

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

$6 \cdot 2 x^{\frac{1}{2} + \frac{1}{m}}$

Step 3

Multiply $6$ by $2$ .

$12 x^{\frac{1}{2} + \frac{1}{m}}$