Solve 9a^2b*12^4b^3*15a^6

$$9 a ^ { 2 } b \cdot 12 ^ { 4 } b ^ { 3 } \cdot 15 a ^ { 6 }$$

Evaluate

$$2799360b^{4}a^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 6 to get 8.

$$9a^{8}b\times 12^{4}b^{3}\times 15$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$9a^{8}b^{4}\times 12^{4}\times 15$$

Calculate 12 to the power of 4 and get 20736.

$$9a^{8}b^{4}\times 20736\times 15$$

Multiply 9 and 20736 to get 186624.

$$186624a^{8}b^{4}\times 15$$

Multiply 186624 and 15 to get 2799360.

$$2799360a^{8}b^{4}$$

Differentiate w.r.t. a

$$22394880b^{4}a^{7}$$