Simplify (20x^6y)*(1/4x^2y)

$(20 x^{6} y) \cdot (\frac{1}{4} x^{2} y)$

Step 1

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

Move $x^{2}$ .

$20 (x^{2} x^{6}) y \cdot (\frac{1}{4} \cdot (y))$

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

$20 x^{2 + 6} y \cdot (\frac{1}{4} \cdot (y))$

Add $2$ and $6$ .

$20 x^{8} y \cdot (\frac{1}{4} \cdot (y))$

Step 2

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

Move $y$ .

$20 x^{8} (y \cdot y) \cdot \frac{1}{4}$

Multiply $y$ by $y$ .

$20 x^{8} y^{2} \cdot \frac{1}{4}$

Step 3

Cancel the common factor of $4$ .

Factor $4$ out of $20 x^{8} y^{2}$ .

$4 (5 x^{8} y^{2}) \cdot \frac{1}{4}$

Cancel the common factor.

$4 (5 x^{8} y^{2}) \cdot \frac{1}{4}$

Rewrite the expression.

$5 x^{8} y^{2}$