Simplify -7x^2y^35x^5y^4

$- 7 x^{2} y^{3} \cdot 5 x^{5} \cdot y^{4}$

Step 1

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

Move $x^{5}$ .

$- 7 (x^{5} x^{2}) y^{3} \cdot 5 \cdot y^{4}$

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

$- 7 x^{5 + 2} y^{3} \cdot 5 \cdot y^{4}$

Add $5$ and $2$ .

$- 7 x^{7} y^{3} \cdot 5 \cdot y^{4}$

Step 2

Multiply $y^{3}$ by $y^{4}$ by adding the exponents.

Move $y^{4}$ .

$- 7 x^{7} (y^{4} y^{3}) \cdot 5$

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

$- 7 x^{7} y^{4 + 3} \cdot 5$

Add $4$ and $3$ .

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

Step 3

Multiply $5$ by $- 7$ .

$- 35 x^{7} y^{7}$

Simplify -7x^2y^3*5x^5*y^4