Solve 54y^3z^5/9yz^2

$$\frac { 54 y ^ { 3 } z ^ { 5 } } { 9 y z ^ { 2 } }$$

Evaluate

$$6y^{2}z^{3}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{54^{1}y^{3}z^{5}}{9^{1}y^{1}z^{2}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{54^{1}}{9^{1}}y^{3-1}z^{5-2}$$

Subtract 1 from 3.

$$\frac{54^{1}}{9^{1}}y^{2}z^{5-2}$$

Subtract 2 from 5.

$$\frac{54^{1}}{9^{1}}y^{2}z^{3}$$

Divide 54 by 9.

$$6y^{2}z^{3}$$

Differentiate w.r.t. z

$$18\left(yz\right)^{2}$$