Solve frac{7^{8}*a^{9}b^{7}c^{12}}{7^6*a^8b^4c^12}

$$\frac { 7 ^ { 8 } \times a ^ { 9 } b ^ { 7 } c ^ { 12 } } { 7 ^ { 6 } \times a ^ { 8 } b ^ { 4 } c ^ { 12 } }$$

Evaluate

$$49ab^{3}$$

Solution Steps

Cancel out 7^{6}b^{4}a^{8}c^{12} in both numerator and denominator.

$$7^{2}ab^{3}$$

Calculate 7 to the power of 2 and get 49.

$$49ab^{3}$$

Differentiate w.r.t. b

$$147ab^{2}$$