Solve 10yzdiv4z^2*(-6z)

$$10 y z \div 4 z ^ { 2 } \times ( - 6 z )$$

Evaluate

$$-15yz^{4}$$

Solution Steps

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

$$\frac{10yz}{4}z^{3}\left(-6\right)$$

Divide 10yz by 4 to get \frac{5}{2}yz.

$$\frac{5}{2}yzz^{3}\left(-6\right)$$

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

$$\frac{5}{2}yz^{4}\left(-6\right)$$

Multiply \frac{5}{2} and -6 to get -15.

$$-15yz^{4}$$

Differentiate w.r.t. y

$$-15z^{4}$$