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

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

Evaluate

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

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$20^{1}x^{6}y^{1}\times \left(\frac{1}{4}\right)^{1}x^{2}y^{1}$$

Use the Commutative Property of Multiplication.

$$20^{1}\times \left(\frac{1}{4}\right)^{1}x^{6}x^{2}y^{1}y^{1}$$

To multiply powers of the same base, add their exponents.

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

Add the exponents 6 and 2.

$$20^{1}\times \left(\frac{1}{4}\right)^{1}x^{8}y^{1+1}$$

Add the exponents 1 and 1.

$$20^{1}\times \left(\frac{1}{4}\right)^{1}x^{8}y^{2}$$

Multiply 20 times \frac{1}{4}.

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

Differentiate w.r.t. x

$$40y^{2}x^{7}$$