Solve a^4/12b^8*9b^2/a^3=

$$\frac { a ^ { 4 } } { 12 b ^ { 8 } } \cdot \frac { 9 b ^ { 2 } } { a ^ { 3 } } =$$

Evaluate

$$\frac{3a}{4b^{6}}$$

Solution Steps

Multiply \frac{a^{4}}{12b^{8}} times \frac{9b^{2}}{a^{3}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{a^{4}\times 9b^{2}}{12b^{8}a^{3}}$$

Cancel out 3b^{2}a^{3} in both numerator and denominator.

$$\frac{3a}{4b^{6}}$$

Differentiate w.r.t. b

$$-\frac{9a}{2b^{7}}$$