Solve (10x^3)(5xy)(6y^2)=

$$( 10 x ^ { 3 } ) ( 5 x y ) ( 6 y ^ { 2 } ) =$$

Evaluate

$$300y^{3}x^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$10x^{4}\times 5y\times 6y^{2}$$

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

$$10x^{4}\times 5y^{3}\times 6$$

Multiply 10 and 5 to get 50.

$$50x^{4}y^{3}\times 6$$

Multiply 50 and 6 to get 300.

$$300x^{4}y^{3}$$

Differentiate w.r.t. x

$$1200\left(xy\right)^{3}$$