Solve 15y*y/2div24/y*y

$$\frac { 15 y \times y } { 2 } \div \frac { 24 } { y \times y }$$

Evaluate

$$\frac{5y^{4}}{16}$$

Solution Steps

Multiply y and y to get y^{2}.

$$\frac{\frac{15y^{2}}{2}}{\frac{24}{yy}}$$

Multiply y and y to get y^{2}.

$$\frac{\frac{15y^{2}}{2}}{\frac{24}{y^{2}}}$$

Divide \frac{15y^{2}}{2} by \frac{24}{y^{2}} by multiplying \frac{15y^{2}}{2} by the reciprocal of \frac{24}{y^{2}}.

$$\frac{15y^{2}y^{2}}{2\times 24}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5y^{2}y^{2}}{2\times 8}$$

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

$$\frac{5y^{4}}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$\frac{5y^{4}}{16}$$

Differentiate w.r.t. y

$$\frac{5y^{3}}{4}$$