Solve 3^9*6^6/9^2*a^2

$$\frac { 3 ^ { 9 } \times 6 ^ { 6 } } { 9 ^ { 2 } \times a ^ { 2 } }$$

Evaluate

$$\frac{11337408}{a^{2}}$$

Solution Steps

Calculate 3 to the power of 9 and get 19683.

$$\frac{19683\times 6^{6}}{9^{2}a^{2}}$$

Calculate 6 to the power of 6 and get 46656.

$$\frac{19683\times 46656}{9^{2}a^{2}}$$

Multiply 19683 and 46656 to get 918330048.

$$\frac{918330048}{9^{2}a^{2}}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{918330048}{81a^{2}}$$

Differentiate w.r.t. a

$$-\frac{22674816}{a^{3}}$$