Solve 4a*7^2*2^6/14^3*x^2

$$\frac { 4 a \times 7 ^ { 2 } \times 2 ^ { 6 } } { 14 ^ { 3 } \times x ^ { 2 } }$$

Evaluate

$$\frac{32a}{7x^{2}}$$

Solution Steps

Calculate 7 to the power of 2 and get 49.

$$\frac{4a\times 49\times 2^{6}}{14^{3}x^{2}}$$

Multiply 4 and 49 to get 196.

$$\frac{196a\times 2^{6}}{14^{3}x^{2}}$$

Calculate 2 to the power of 6 and get 64.

$$\frac{196a\times 64}{14^{3}x^{2}}$$

Multiply 196 and 64 to get 12544.

$$\frac{12544a}{14^{3}x^{2}}$$

Calculate 14 to the power of 3 and get 2744.

$$\frac{12544a}{2744x^{2}}$$

Cancel out 392 in both numerator and denominator.

$$\frac{32a}{7x^{2}}$$

Differentiate w.r.t. x

$$-\frac{64a}{7x^{3}}$$