Solve 10y^2z^2div5/2yz

$$10 y ^ { 2 } z ^ { 2 } \div 5 / 2 y z$$

Evaluate

$$4\left(yz\right)^{3}$$

Solution Steps

Divide 10y^{2}z^{2} by \frac{5}{2} by multiplying 10y^{2}z^{2} by the reciprocal of \frac{5}{2}.

$$\frac{10y^{2}z^{2}\times 2}{5}yz$$

Multiply 10 and 2 to get 20.

$$\frac{20y^{2}z^{2}}{5}yz$$

Divide 20y^{2}z^{2} by 5 to get 4y^{2}z^{2}.

$$4y^{2}z^{2}yz$$

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

$$4y^{3}z^{2}z$$

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

$$4y^{3}z^{3}$$

Differentiate w.r.t. y

$$12y^{2}z^{3}$$