Solve (5xy^5)(3x^6y^2)(4x^7y)

$$( 5 x y ^ { 5 } ) ( 3 x ^ { 6 } y ^ { 2 } ) ( 4 x ^ { 7 } y )$$

Evaluate

$$60y^{8}x^{14}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 6 to get 7.

$$5x^{7}y^{5}\times 3y^{2}\times 4x^{7}y$$

To multiply powers of the same base, add their exponents. Add 7 and 7 to get 14.

$$5x^{14}y^{5}\times 3y^{2}\times 4y$$

To multiply powers of the same base, add their exponents. Add 5 and 2 to get 7.

$$5x^{14}y^{7}\times 3\times 4y$$

To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.

$$5x^{14}y^{8}\times 3\times 4$$

Multiply 5 and 3 to get 15.

$$15x^{14}y^{8}\times 4$$

Multiply 15 and 4 to get 60.

$$60x^{14}y^{8}$$

Differentiate w.r.t. x

$$840y^{8}x^{13}$$