1. **Problem:** Evaluate $4 + 5^2 \times 7$ using order of operations.
2. **Recall order of operations:** Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).
3. Calculate exponent first: $5^2 = 25$.
4. Multiply: $25 \times 7 = 175$.
5. Add: $4 + 175 = 179$.
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1. **Problem:** Evaluate $4 \times 5^2 - 7$.
2. Calculate exponent: $5^2 = 25$.
3. Multiply: $4 \times 25 = 100$.
4. Subtract: $100 - 7 = 93$.
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1. **Problem:** Evaluate $(4 + 5^2) \times 7$.
2. Calculate exponent inside parentheses: $5^2 = 25$.
3. Add inside parentheses: $4 + 25 = 29$.
4. Multiply: $29 \times 7 = 203$.
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1. **Problem:** Evaluate $(4 + 5)^2 \times 7$.
2. Add inside parentheses: $4 + 5 = 9$.
3. Square: $9^2 = 81$.
4. Multiply: $81 \times 7 = 567$.
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1. **Problem:** Evaluate $4 + (5^2 \times 7)$.
2. Calculate exponent inside parentheses: $5^2 = 25$.
3. Multiply inside parentheses: $25 \times 7 = 175$.
4. Add: $4 + 175 = 179$.
**Final answers:**
1. $179$
2. $93$
3. $203$
4. $567$
5. $179$
Order Operations 498E0C
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