Вопрос:

1. Write down the expression 2. How many times do you have to multiply 4 by itself to get 256?

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Ответ:

1. The expression is:

  • \[ \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} \times ... \text{ (n times)} \times \frac{1}{3} \text{ or } \left( \frac{1}{3} \right)^n \]

2. Calculation:

  1. Let the number of times 4 is multiplied by itself be 'n'.
  2. The equation is: \( 4^n = 256 \)
  3. We need to find the value of 'n'.
  4. We know that:
    • \( 4^1 = 4 \)
    • \( 4^2 = 16 \)
    • \( 4^3 = 64 \)
    • \( 4^4 = 256 \)
  5. Therefore, \( n = 4 \).

Ответ: 4

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