Solve frac{11b^{-3}c^{-5}d^7}{-33c^3b^-2d^7}

$$\frac { 11 b ^ { - 3 } c ^ { - 5 } d ^ { 7 } } { - 33 c ^ { 3 } b ^ { - 2 } d ^ { 7 } }$$

Evaluate

$$-\frac{1}{3bc^{8}}$$

Solution Steps

Cancel out 11d^{7} in both numerator and denominator.

$$\frac{c^{-5}b^{-3}}{-3b^{-2}c^{3}}$$

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

$$\frac{1}{-3b^{1}c^{8}}$$

Calculate b to the power of 1 and get b.

$$\frac{1}{-3bc^{8}}$$

Differentiate w.r.t. c

$$\frac{8}{3bc^{9}}$$