Solve 12x^3y^2xdiv4x^2yz

$$12 x ^ { 3 } y ^ { 2 } x \div 4 x ^ { 2 } y z$$

Evaluate

$$3zy^{3}x^{6}$$

Solution Steps

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

$$\frac{12x^{4}y^{2}}{4}x^{2}yz$$

Divide 12x^{4}y^{2} by 4 to get 3x^{4}y^{2}.

$$3x^{4}y^{2}x^{2}yz$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$3x^{6}y^{2}yz$$

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

$$3x^{6}y^{3}z$$

Differentiate w.r.t. x

$$18zy^{3}x^{5}$$