Simplify 6y^4(-7xy)

$6 y^{4} (- 7 x y)$

Step 1

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

Move $y$ .

$6 (y \cdot y^{4}) (- 7 x)$

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

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

$6 (y^{1} y^{4}) (- 7 x)$

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

$6 y^{1 + 4} (- 7 x)$

Add $1$ and $4$ .

$6 y^{5} (- 7 x)$

Step 2

Rewrite using the commutative property of multiplication.

$6 \cdot - 7 y^{5} x$

Step 3

Multiply $6$ by $- 7$ .

$- 42 y^{5} x$