Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №2666497
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Аноним
22 января 2025 18:58 · публичный вопрос
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Аноним

42+1+2+3+4+5+6+7+8+9+10-1-2-3-4-5-6-7-8-9-10*1*2*3*4*5*6*7*8*9*10+1¹²³⁴+800

Ответ нейросети
22 января 2025 18:58

Let's break down the expression step by step.

  1. First, calculate the initial addition and subtraction:

    • \( 42 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 \)
    • This equals \( 42 + 55 = 97 \) (where \( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 \)).
  2. Now, subtract \( 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 \):

    • This also equals 55, so \( 97 - 55 = 42 \).
  3. Next, we calculate \( 10 * 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 \):

    • The product of all these numbers is \( 10! \) (10 factorial), which equals \( 3,628,800 \).
  4. The expression simplifies to:

    • \( 42 - 3,628,800 + 1^{1234} + 800 \).
  5. Since \( 1^{n} = 1 \) for any positive integer \( n \):

    • This becomes \( 42 - 3,628,800 + 1 + 800 \).
  6. Thus, we add \( 800 + 1 = 801 \):

    • So now the expression is \( 42 - 3,628,800 + 801 \).
  7. Finally, calculate \( 42 + 801 - 3,628,800 \):

    • \( 843 - 3,628,800 = -3,627,957 \).

The final result is \( \boxed{-3,627,957} \).