Subjects algebra

Simplify Order 63C6A4

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1. **State the problem:** Simplify each expression and then order the results from least to greatest. 2. **Recall order of operations:** Use PEMDAS (Parentheses, Exponents, Multiplication/Division from left to right, Addition/Subtraction from left to right). 3. **Simplify each expression:** - C: $2 \cdot 3^4 + 26$ $$= 2 \cdot 81 + 26$$ $$= 162 + 26$$ $$= 188$$ - E: $80 - 2^3 \cdot 6$ $$= 80 - 8 \cdot 6$$ $$= 80 - 48$$ $$= 32$$ - V: $9^3 - 5^3 + 12$ $$= 729 - 125 + 12$$ $$= 604 + 12$$ $$= 616$$ - O: $4^4 + 8 \cdot 3^2$ $$= 256 + 8 \cdot 9$$ $$= 256 + 72$$ $$= 328$$ - K: $14 + 6^3 + 2$ $$= 14 + 216 + 2$$ $$= 232$$ - H: $8^3 \div 4^3 + 7$ $$= \frac{512}{64} + 7$$ $$= 8 + 7$$ $$= 15$$ 4. **Order from least to greatest:** $15 (H) < 32 (E) < 188 (C) < 232 (K) < 328 (O) < 616 (V)$ **Final passcode order:** H, E, C, K, O, V