Solve (frac{7w^{-2}m^{3}p^-5}{35w^3m^7*r^-9})

$$( \frac { 7 w ^ { - 2 } m ^ { 3 } p ^ { - 5 } } { 35 w ^ { 3 } m ^ { 7 } \cdot r ^ { - 9 } } )$$

Evaluate

$$\frac{r^{9}}{5m^{4}\left(pw\right)^{5}}$$

Solution Steps

Cancel out 7m^{3} in both numerator and denominator.

$$\frac{p^{-5}w^{-2}}{5r^{-9}w^{3}m^{4}}$$

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

$$\frac{p^{-5}}{5r^{-9}m^{4}w^{5}}$$

Differentiate w.r.t. r

$$\frac{9r^{8}}{5m^{4}\left(pw\right)^{5}}$$