Simplify x^2y^2*x^6y^7

$x^{2} y^{2} \cdot x^{6} y^{7}$

Step 1

Multiply $x^{2}$ by $x^{6}$ by adding the exponents.

Move $x^{6}$ .

$x^{6} x^{2} y^{2} \cdot y^{7}$

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

$x^{6 + 2} y^{2} \cdot y^{7}$

Add $6$ and $2$ .

$x^{8} y^{2} \cdot y^{7}$

Step 2

Multiply $y^{2}$ by $y^{7}$ by adding the exponents.

Move $y^{7}$ .

$x^{8} (y^{7} y^{2})$

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

$x^{8} y^{7 + 2}$

Add $7$ and $2$ .

$x^{8} y^{9}$