Solve 10y/3b^2div12y^5/b^4y

$$\frac { 10 y } { 3 b ^ { 2 } } \div \frac { 12 y ^ { 5 } } { b ^ { 4 } y }$$

Evaluate

$$\frac{5b^{2}}{18y^{3}}$$

Solution Steps

Divide \frac{10y}{3b^{2}} by \frac{12y^{5}}{b^{4}y} by multiplying \frac{10y}{3b^{2}} by the reciprocal of \frac{12y^{5}}{b^{4}y}.

$$\frac{10yb^{4}y}{3b^{2}\times 12y^{5}}$$

Cancel out 2yyb^{2} in both numerator and denominator.

$$\frac{5b^{2}}{3\times 6y^{3}}$$

Multiply 3 and 6 to get 18.

$$\frac{5b^{2}}{18y^{3}}$$

Differentiate w.r.t. y

$$-\frac{5b^{2}}{6y^{4}}$$