Simplify (2x^4y^-4)(3x^2y^4)

$(2 x^{4} y^{- 4}) (3 x^{2} y^{4})$

Step 1

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$2 (x^{2} x^{4}) y^{- 4} (3 y^{4})$

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

$2 x^{2 + 4} y^{- 4} (3 y^{4})$

Add $2$ and $4$ .

$2 x^{6} y^{- 4} (3 y^{4})$

Step 2

Multiply $y^{- 4}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$2 x^{6} (y^{4} y^{- 4}) \cdot 3$

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

$2 x^{6} y^{4 - 4} \cdot 3$

Subtract $4$ from $4$ .

$2 x^{6} y^{0} \cdot 3$

Step 3

Simplify $2 x^{6} y^{0} \cdot 3$ .

$2 x^{6} \cdot 3$

Step 4

Multiply $3$ by $2$ .

$6 x^{6}$