Solve frac{7q^{-2}rs^0}{q^-5r^0s^0}

$$\frac { 7 q ^ { - 2 } r s ^ { 0 } } { q ^ { - 5 } r ^ { 0 } s ^ { 0 } }$$

Evaluate

$$7rq^{3}$$

Solution Steps

Cancel out s^{0} in both numerator and denominator.

$$\frac{7q^{-2}r}{q^{-5}r^{0}}$$

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

$$7r^{1}q^{3}$$

Calculate r to the power of 1 and get r.

$$7rq^{3}$$

Differentiate w.r.t. r

$$7q^{3}$$