If z is a multiple of 7899, what is the remainder when z^2 is divided by 9?

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If z is a multiple of , what is the remainder when z ^ is divided by ?

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Calculated Answer

6.9999999997672

Step by Step Solution

In order to solve problem, you must evaluate n₂ * (n₀ / 3^n₁ / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁)).

• n₂ * (n₀ / 3^n₁ / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate n₀ / 3 = 2633

  n₂ * (2633^n₁ / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2633^n₁ = 6932689

  n₂ * (6932689 / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 6932689 / n₂ = 770298.77777778

  n₂ * (770298.77777778 - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate n₂ - n₁ = 7

  n₂ * (770298.77777778 - (7 * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 7 * 1000 = 7000

  n₂ * (770298.77777778 - (7000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 7000 * 100 = 700000

  n₂ * (770298.77777778 - (700000 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate n₂ - n₁ = 7

  n₂ * (770298.77777778 - (700000 + 7 * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 7 * 1000 = 7000

  n₂ * (770298.77777778 - (700000 + 7000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 7000 * 10 = 70000

  n₂ * (770298.77777778 - (700000 + 70000 + n₁ * 100 + 100 - n₁))

• Evaluate 700000 + 70000 = 770000

  n₂ * (770298.77777778 - (770000 + n₁ * 100 + 100 - n₁))

• Evaluate n₁ * 100 = 200

  n₂ * (770298.77777778 - (770000 + 200 + 100 - n₁))

• Evaluate 770000 + 200 = 770200

  n₂ * (770298.77777778 - (770200 + 100 - n₁))

• Evaluate 100 - n₁ = 98

  n₂ * (770298.77777778 - (770200 + 98))

• Evaluate 770200 + 98 = 770298

  n₂ * (770298.77777778 - 770298)

• Evaluate 770298.77777778 - 770298 = 0.77777777775191

  n₂ * 0.77777777775191

• Evaluate n₂ * 0.77777777775191 = 6.9999999997672

  6.9999999997672
• The answer to the problem and the result of n₂ * (n₀ / 3^n₁ / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁)) is 6.9999999997672