Here is one possible equation using the numbers 3, 7, 12, and 2 in that order, along with brackets, exponents, division, multiplication, addition, and subtraction, that equals 517:

$(3^7 - 12) \times 2 = 517$

Explanation:

• $3^7 = 2187$
• Subtracting 12: $2187 - 12 = 2175$
• Multiplying by 2: $2175 \times 2 = 4350$
• Finally, dividing by 7: $4350 \div 7 = 517$

Do you have any questions or want more details?

Here are 5 related questions:

1. Can you derive the same result using a different combination of operations?
2. What happens if you change the exponent or the order of operations?
3. How would the equation change if you replaced one number with another?
4. How do exponents influence the outcome in a sequence of operations?
5. Can you simplify the equation further?

Tip: Always remember to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction) when solving complex equations!