Solve 5*4/7ab^2div6xy/7

$$\frac { 5 \times 4 } { 7 a b ^ { 2 } } \div \frac { 6 x y } { 7 }$$

Evaluate

$$\frac{10}{3axyb^{2}}$$

Solution Steps

Divide \frac{5\times 4}{7ab^{2}} by \frac{6xy}{7} by multiplying \frac{5\times 4}{7ab^{2}} by the reciprocal of \frac{6xy}{7}.

$$\frac{5\times 4\times 7}{7ab^{2}\times 6xy}$$

Cancel out 2\times 7 in both numerator and denominator.

$$\frac{2\times 5}{3axyb^{2}}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{3axyb^{2}}$$

Differentiate w.r.t. x

$$-\frac{10}{3ay\left(bx\right)^{2}}$$