If z is a multiple of 8902, what is the remainder when z^2 is divided by 4?

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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

7923875.1111111

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 = 2967.3333333333

  n₂ * (2967.3333333333^n₁ / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2967.3333333333^n₁ = 8805067.1111111

  n₂ * (8805067.1111111 / n₂ - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 8805067.1111111 / n₂ = 2201266.7777778

  n₂ * (2201266.7777778 - ((n₂ - n₁) * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate n₂ - n₁ = 2

  n₂ * (2201266.7777778 - (2 * 1000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2 * 1000 = 2000

  n₂ * (2201266.7777778 - (2000 * 100 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2000 * 100 = 200000

  n₂ * (2201266.7777778 - (200000 + (n₂ - n₁) * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate n₂ - n₁ = 2

  n₂ * (2201266.7777778 - (200000 + 2 * 1000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2 * 1000 = 2000

  n₂ * (2201266.7777778 - (200000 + 2000 * 10 + n₁ * 100 + 100 - n₁))

• Evaluate 2000 * 10 = 20000

  n₂ * (2201266.7777778 - (200000 + 20000 + n₁ * 100 + 100 - n₁))

• Evaluate 200000 + 20000 = 220000

  n₂ * (2201266.7777778 - (220000 + n₁ * 100 + 100 - n₁))

• Evaluate n₁ * 100 = 200

  n₂ * (2201266.7777778 - (220000 + 200 + 100 - n₁))

• Evaluate 220000 + 200 = 220200

  n₂ * (2201266.7777778 - (220200 + 100 - n₁))

• Evaluate 100 - n₁ = 98

  n₂ * (2201266.7777778 - (220200 + 98))

• Evaluate 220200 + 98 = 220298

  n₂ * (2201266.7777778 - 220298)

• Evaluate 2201266.7777778 - 220298 = 1980968.7777778

  n₂ * 1980968.7777778

• Evaluate n₂ * 1980968.7777778 = 7923875.1111111

  7923875.1111111
• 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 7923875.1111111