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

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

Step 1

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

Move $x^{2}$ .

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

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

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

Add $2$ and $4$ .

$5 x^{6} y^{3} \cdot y$

Step 2

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

Move $y$ .

$5 x^{6} (y \cdot y^{3})$

Multiply $y$ by $y^{3}$ .

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

$5 x^{6} (y^{1} y^{3})$

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

$5 x^{6} y^{1 + 3}$

Add $1$ and $3$ .

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