Evaluate Expressions D9551E
1. **Evaluate the expression:** $e^2 \div 5 \times 9 \times 4^2 + 3^2$
- First, calculate powers: $e^2$ is just $e^2$, $4^2 = 16$, and $3^2 = 9$.
- Then perform division and multiplication from left to right:
$$e^2 \div 5 = \frac{e^2}{5}$$
$$\frac{e^2}{5} \times 9 = \frac{9e^2}{5}$$
$$\frac{9e^2}{5} \times 16 = \frac{144e^2}{5}$$
- Finally, add $3^2 = 9$:
$$\frac{144e^2}{5} + 9$$
2. **Evaluate the expression:** $18 \div 3^2 \times (1 - 3) \times 10$
- Calculate powers and parentheses:
$$3^2 = 9$$
$$(1 - 3) = -2$$
- Perform division and multiplication from left to right:
$$18 \div 9 = 2$$
$$2 \times (-2) = -4$$
$$-4 \times 10 = -40$$
**Final answers:**
- i) $$\frac{144e^2}{5} + 9$$
- ii) $$-40$$