Solve 5x^2y^2z*0,2xy^3z^4

$$5 x ^ { 2 } y ^ { 2 } z \cdot 0,2 x y ^ { 3 } z ^ { 4 }$$

Evaluate

$$x^{3}\left(yz\right)^{5}$$

Solution Steps

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

$$5x^{3}y^{2}z\times 0,2y^{3}z^{4}$$

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

$$5x^{3}y^{5}z\times 0,2z^{4}$$

To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.

$$5x^{3}y^{5}z^{5}\times 0,2$$

Multiply 5 and 0,2 to get 1.

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

Differentiate w.r.t. x

$$3x^{2}\left(yz\right)^{5}$$