Subjects algebra

Evaluate Expressions D9551E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

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) $$-40$$