Solve v^3s^-1/v^-2s^3

$$\frac { v ^ { 3 } s ^ { - 1 } } { v ^ { - 2 } s ^ { 3 } }$$

Evaluate

$$\frac{v^{5}}{s^{4}}$$

Solution Steps

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

$$\frac{\frac{1}{s}v^{5}}{s^{3}}$$

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

$$\frac{v^{5}}{s^{4}}$$

Differentiate w.r.t. v

$$5\times \left(\frac{v}{s}\right)^{4}$$