Solve 2^-1p^0q^2r^-2

$$2 ^ { - 1 } p ^ { 0 } q ^ { 2 } r ^ { - 2 }$$

Evaluate

$$\frac{\left(\frac{q}{r}\right)^{2}}{2}$$

Solution Steps

Calculate 2 to the power of -1 and get \frac{1}{2}.

$$\frac{1}{2}p^{0}q^{2}r^{-2}$$

Calculate p to the power of 0 and get 1.

$$\frac{1}{2}\times 1q^{2}r^{-2}$$

Multiply \frac{1}{2} and 1 to get \frac{1}{2}.

$$\frac{1}{2}q^{2}r^{-2}$$

Differentiate w.r.t. q

$$\frac{q}{r^{2}}$$