Example 2.11.2

Evaluate the following expressions if \(x=-3\text{.}\)

  1. \(\begin{aligned}[t] x^2\amp=(-3)^2\\ \amp=9 \end{aligned}\)

  2. \(\begin{aligned}[t] x^3\amp=(-3)^3\\ \amp=(-3)(-3)(-3)\\ \amp=-27 \end{aligned}\)

  3. \(\begin{aligned}[t] -x^2\amp=-(-3)^2\\ \amp=-9 \end{aligned}\)

  4. \(\begin{aligned}[t] -x^3\amp=-(-3)^3\\ \amp=-(-27)\\ \amp=27 \end{aligned}\)

in-context