Solve x^-3c^-5/(xc)^-2

$$\frac { x ^ { - 3 } c ^ { - 5 } } { ( x c ) ^ { - 2 } }$$

Evaluate

$$\frac{1}{xc^{3}}$$

Solution Steps

Expand \left(xc\right)^{-2}.

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

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

$$\frac{1}{x^{1}c^{3}}$$

Calculate x to the power of 1 and get x.

$$\frac{1}{xc^{3}}$$

Expand

$$\frac{1}{xc^{3}}$$

Solution Steps

Expand \left(xc\right)^{-2}.

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

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

$$\frac{1}{x^{1}c^{3}}$$

Calculate x to the power of 1 and get x.

$$\frac{1}{xc^{3}}$$