Warm Up Solutions

1. $–3^4$

$$\begin{gathered} –1\left(3^4\right) \\ –81 \end{gathered}$$

2. ${\left(–3\right)}^4$

81

3. ${\left(–\frac{2}{3}\right)}^4$

$\frac{{\left(–2\right)}^4}{{\left(3\right)}^4}=\frac{16}{81}$

4. $–{\left(\frac{2}{3}\right)}^{–4}$

$\left(–1\right)\frac{{\left(2\right)}^{–4}}{{\left(3\right)}^{–4}}=\left(–1\right)\frac{{\left(3\right)}^4}{{\left(2\right)}^4}=–\frac{81}{16}$

5. $$\begin{gathered} 2x–5y=18 \\ y=–0.5x \end{gathered}$$

$$\begin{gathered} 2x–5\left(–0.5x\right)=18 \\ 2x+2.5x=18 \\ 4.5x=18 \\ x=4 \\ y=–0.5\left(4\right) \\ y=–2 \\ \left(4, –2\right) \end{gathered}$$