Solve (x^3/x^2)^-4

$$( \frac { x ^ { 3 } } { x ^ { 2 } } ) ^ { - 4 }$$

Evaluate

$$\frac{1}{x^{4}}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$\left(x^{1}\right)^{-4}$$

Calculate x to the power of 1 and get x.

$$x^{-4}$$

Expand

$$\frac{1}{x^{4}}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 3 to get 1.

$$\left(x^{1}\right)^{-4}$$

Calculate x to the power of 1 and get x.

$$x^{-4}$$