Solve 5x^6y^5/51/frac{10xy^6{17}}=

$$\frac { \frac { 5 x ^ { 6 } y ^ { 5 } } { 51 } } { \frac { 10 x y ^ { 6 } } { 17 } } =$$

Evaluate

$$\frac{x^{5}}{6y}$$

Solution Steps

Divide \frac{5x^{6}y^{5}}{51} by \frac{10xy^{6}}{17} by multiplying \frac{5x^{6}y^{5}}{51} by the reciprocal of \frac{10xy^{6}}{17}.

$$\frac{5x^{6}y^{5}\times 17}{51\times 10xy^{6}}$$

Cancel out 5\times 17xy^{5} in both numerator and denominator.

$$\frac{x^{5}}{2\times 3y}$$

Multiply 2 and 3 to get 6.

$$\frac{x^{5}}{6y}$$

Differentiate w.r.t. x

$$\frac{5x^{4}}{6y}$$