Solve xy/9*y^2/bdiv32/a

$$\frac { x y } { 9 } \times \frac { y ^ { 2 } } { b } \div \frac { 32 } { a }$$

Evaluate

$$\frac{axy^{3}}{288b}$$

Solution Steps

Multiply \frac{xy}{9} times \frac{y^{2}}{b} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{xyy^{2}}{9b}}{\frac{32}{a}}$$

Divide \frac{xyy^{2}}{9b} by \frac{32}{a} by multiplying \frac{xyy^{2}}{9b} by the reciprocal of \frac{32}{a}.

$$\frac{xyy^{2}a}{9b\times 32}$$

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

$$\frac{xy^{3}a}{9b\times 32}$$

Multiply 9 and 32 to get 288.

$$\frac{xy^{3}a}{288b}$$

Differentiate w.r.t. x

$$\frac{ay^{3}}{288b}$$