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What is the value of 5^(x+1) / 5^(x-1)? (2023)

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Question: What is the value of 5^(x+1) / 5^(x-1)? (2023)

Options:

  1. 5^2
  2. 5^0
  3. 5^1
  4. 5^(x+2)

Correct Answer: 5^2

Exam Year: 2023

Solution: 

Using the property of exponents a^m / a^n = a^(m-n), we have 5^(x+1) / 5^(x-1) = 5^((x+1)-(x-1)) = 5^2.

What is the value of 5^(x+1) / 5^(x-1)? (2023)

Practice Questions

Q1
What is the value of 5^(x+1) / 5^(x-1)? (2023)
  1. 5^2
  2. 5^0
  3. 5^1
  4. 5^(x+2)

Questions & Step-by-Step Solutions

What is the value of 5^(x+1) / 5^(x-1)? (2023)
  • Step 1: Identify the expression we need to simplify: 5^(x+1) / 5^(x-1).
  • Step 2: Recall the property of exponents that says a^m / a^n = a^(m-n).
  • Step 3: Apply this property to our expression: 5^(x+1) / 5^(x-1) becomes 5^((x+1)-(x-1)).
  • Step 4: Simplify the exponent: (x+1) - (x-1) = x + 1 - x + 1 = 2.
  • Step 5: Now we have 5^2, which is the simplified form of the original expression.
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