Identify the Common Factors 72x^2y*18xy

$72 x^{2} y \cdot 18 x y$

Step 1

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

Move $x$ .

$72 (x \cdot x^{2}) y \cdot (18 y)$

Multiply $x$ by $x^{2}$ .

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

$72 (x^{1} x^{2}) y \cdot (18 y)$

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

$72 x^{1 + 2} y \cdot (18 y)$

Add $1$ and $2$ .

$72 x^{3} y \cdot (18 y)$

Step 2

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$72 x^{3} (y \cdot y) \cdot 18$

Multiply $y$ by $y$ .

$72 x^{3} y^{2} \cdot 18$

Step 3

Multiply $18$ by $72$ .

$1296 x^{3} y^{2}$

Step 4

Since there are no common prime factors, the only common factor for $1296 x^{3} y^{2}$ is $1$ .

$1$