3. Simplify: \( \frac{1}{k^{-3}} \)

To simplify \( \frac{1}{k^{-3}} \), we can use the property of exponents that states \( k^{-n} = \frac{1}{k^n} \). Thus, \( k^{-3} = \frac{1}{k^3} \), leading to: \[ \frac{1}{k^{-3}} = \frac{1}{\frac{1}{k^3}} = k^3 \] So, the simplified expression is \( k^3 \). Next, for any negative exponent in an expression, remember that flipping the base turns the exponent positive. This property is crucial when dealing with algebraic fractions and helps in dealing with those pesky negative exponents more efficiently!