Simplify 12y*(2/3xy^4)

$12 y \cdot (\frac{2}{3} x y^{4})$

Step 1

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

Move $y^{4}$ .

$12 (y^{4} y) \cdot (\frac{2}{3} \cdot (x))$

Multiply $y^{4}$ by $y$ .

Raise $y$ to the power of $1$ .

$12 (y^{4} y^{1}) \cdot (\frac{2}{3} \cdot (x))$

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

$12 y^{4 + 1} \cdot (\frac{2}{3} \cdot (x))$

Add $4$ and $1$ .

$12 y^{5} \cdot (\frac{2}{3} \cdot (x))$

Step 2

Rewrite using the commutative property of multiplication.

$12 \cdot \frac{2}{3} y^{5} x$

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $12$ .

$3 (4) \cdot \frac{2}{3} y^{5} x$

Cancel the common factor.

$3 \cdot 4 \cdot \frac{2}{3} y^{5} x$

Rewrite the expression.

$4 \cdot 2 y^{5} x$

Step 4

Multiply $4$ by $2$ .

$8 y^{5} x$