Solve frac{r^{-1}s^-1*rs^0}{r^-2s^-2}

$$\frac { r ^ { - 1 } s ^ { - 1 } \cdot r s ^ { 0 } } { r ^ { - 2 } s ^ { - 2 } }$$

Evaluate

$$sr^{2}$$

Solution Steps

Multiply r^{-1} and r to get 1.

$$\frac{s^{-1}s^{0}}{r^{-2}s^{-2}}$$

To multiply powers of the same base, add their exponents. Add -1 and 0 to get -1.

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

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

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

Calculate s to the power of 1 and get s.

$$\frac{s}{r^{-2}}$$

Differentiate w.r.t. s

$$r^{2}$$