Simplify 6x^2*6x^3y^4

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

Step 1

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

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

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

Add $3$ and $2$ .

$6 x^{5} \cdot (6 y^{4})$

Step 2

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x^{5} y^{4}$

Step 3

Multiply $6$ by $6$ .

$36 x^{5} y^{4}$