Chapter 1

1. $\sqrt{9 + 16} = \sqrt{25} = 5$
2. $\frac{(7) (- 3) (- 2)}{(- 6) (0)}$ is undefined (division by zero).
3. $\frac{3.372 \times 10^{- 3}}{7.526 \times 10^{12}} = 4.480 \times 10^{- 16}$
4. $\begin{array}{rcl} \frac{(+ 6) (- 2) - 3 (- 1)}{5 - 2} & = & \frac{- 12 - (- 3)}{3} = \frac{- 12 + 3}{3} \\ = & \frac{- 9}{3} = - 3 \end{array}$
5. $\frac{346.4 - 23.5}{287.7} - \frac{{0.944}^{3}}{(3.46) (0.109)} = - 1.108$
6. $\begin{array}{rcl} {(2 a^{0} b^{- 2} c^{3})}^{- 3} & = & 2^{- 3} a^{0 (- 3)} b^{(- 2) (- 3)} c^{3 (- 3)} = 2^{- 3} a^{0} b^{6} c^{- 9} \\ = & \frac{b^{6}}{8 c^{9}} \end{array}$
7. $\begin{array}{rcl} {(2 x + 3)}^{2} & = & (2 x + 3) (2 x + 3) \\ = & 2 x (2 x) + 2 x (3) + 3 (2 x) + 3 (3) \\ = & 4 x^{2} + 6 x + 6 x + 9 \\ = & 4 x^{2} + 12 x + 9 \end{array}$
8. $\begin{array}{rcl} 3 m^{2} (a m - 2 m^{3}) & = & 3 m^{2} (a m) + 3 m^{2} (- 2 m^{3}) \\ = & 3 a m^{3} - 6 m^{5} \end{array}$
9. $\begin{array}{rcl} \frac{8 a^{3} x^{2} - 4 a^{2} x^{4}}{- 2 a x^{2}} & = & \frac{8 a^{3} x^{2}}{- 2 a x^{2}} - 4 \end{array}$

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Basic Technical Mathematics, 11th Edition by Allyn J. Washington, Richard Evans