Which of the following is true for the expression 2^(x+1) / 2^(x-1)? (2023)

Practice Questions

Q1
Which of the following is true for the expression 2^(x+1) / 2^(x-1)? (2023)
  1. 2^2
  2. 2^0
  3. 2^1
  4. 2^3

Questions & Step-by-Step Solutions

Which of the following is true for the expression 2^(x+1) / 2^(x-1)? (2023)
  • Step 1: Identify the expression we need to simplify: 2^(x+1) / 2^(x-1).
  • Step 2: Recall the property of exponents that states a^m / a^n = a^(m-n).
  • Step 3: Apply this property to our expression: 2^(x+1) / 2^(x-1) becomes 2^((x+1) - (x-1)).
  • Step 4: Simplify the exponent: (x+1) - (x-1) = x + 1 - x + 1 = 2.
  • Step 5: Now we have 2^2, which equals 4.
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