Solve 3x^2y*4xy^2*7x^3y^3

$$3 x ^ { 2 } y \times 4 x y ^ { 2 } \times 7 x ^ { 3 } y ^ { 3 }$$

Evaluate

$$84\left(xy\right)^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$3x^{3}y\times 4y^{2}\times 7x^{3}y^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$3x^{6}y\times 4y^{2}\times 7y^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$3x^{6}y^{3}\times 4\times 7y^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$3x^{6}y^{6}\times 4\times 7$$

Multiply 3 and 4 to get 12.

$$12x^{6}y^{6}\times 7$$

Multiply 12 and 7 to get 84.

$$84x^{6}y^{6}$$

Differentiate w.r.t. x

$$504x^{5}y^{6}$$