Solve frac{5s^{-4}t^{6}u^8}{5s^-1t^-1u^7}

$$\frac { 5 s ^ { - 4 } t ^ { 6 } u ^ { 8 } } { 5 s ^ { - 1 } t ^ { - 1 } u ^ { 7 } }$$

Evaluate

$$\frac{ut^{7}}{s^{3}}$$

Solution Steps

Cancel out 5u^{7} in both numerator and denominator.

$$\frac{s^{-4}ut^{6}}{\frac{1}{s}\times \frac{1}{t}}$$

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

$$\frac{s^{-4}ut^{7}}{\frac{1}{s}}$$

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

$$\frac{ut^{7}}{s^{3}}$$

Differentiate w.r.t. u

$$\frac{t^{7}}{s^{3}}$$