Solve {45x^{2}y^2z^275xy^2z^3}

$$\{ 45 x ^ { 2 } y ^ { 2 } z ^ { 2 } 75 x y ^ { 2 } z ^ { 3 } \}$$

Evaluate

$$3375x^{3}y^{4}z^{5}$$

Solution Steps

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

$$45x^{3}y^{2}z^{2}\times 75y^{2}z^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$45x^{3}y^{4}z^{2}\times 75z^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$45x^{3}y^{4}z^{5}\times 75$$

Multiply 45 and 75 to get 3375.

$$3375x^{3}y^{4}z^{5}$$

Differentiate w.r.t. x

$$10125x^{2}y^{4}z^{5}$$