Question: Simplify. \[ \frac{2}{5} \cdot \frac{1}{x^2} \] Assume that the variable represents a…

Simplify.

\[ \frac{2}{5} \cdot \frac{1}{x^2} \]

Assume that the variable represents a positive real number.

Solution

To simplify the expression \[ \frac{2}{5x} \cdot \frac{1}{x^2} \] first multiply the numerators together and the denominators together: \[ \frac{2 \cdot 1}{5x \cdot x^2} \] Simplify the expression: \[ \frac{2}{5x^3} \] So, the simplified expression is \[ \frac{2}{5x^3} \]