Solve a^-2b^-2c/ab^-3c^0

$$\frac { a ^ { - 2 } b ^ { - 2 } c } { a b ^ { - 3 } c ^ { 0 } }$$

Evaluate

$$\frac{bc}{a^{3}}$$

Solution Steps

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

$$\frac{a^{-2}b^{1}c^{1}}{a}$$

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

$$\frac{b^{1}c^{1}}{a^{3}}$$

Calculate b to the power of 1 and get b.

$$\frac{bc^{1}}{a^{3}}$$

Calculate c to the power of 1 and get c.

$$\frac{bc}{a^{3}}$$

Differentiate w.r.t. b

$$\frac{c}{a^{3}}$$