Solve 3x^-2*7^4/3^2*9*7^2

$$\frac { 3 x ^ { - 2 } \times 7 ^ { 4 } } { 3 ^ { 2 } \times 9 \times 7 ^ { 2 } }$$

Evaluate

$$\frac{49}{27x^{2}}$$

Solution Steps

Cancel out 3\times 7^{2} in both numerator and denominator.

$$\frac{7^{2}x^{-2}}{3\times 9}$$

Calculate 7 to the power of 2 and get 49.

$$\frac{49x^{-2}}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$\frac{49x^{-2}}{27}$$

Differentiate w.r.t. x

$$-\frac{98}{27x^{3}}$$