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What is the result of 5^2 * 5^(-3)? (2023)

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Question: What is the result of 5^2 * 5^(-3)? (2023)

Options:

  1. 5^1
  2. 5^(-1)
  3. 5^0
  4. 5^(-5)

Correct Answer: 5^(-1)

Exam Year: 2023

Solution: 

Using the property of exponents, we combine the exponents: 5^(2 + (-3)) = 5^(-1).

What is the result of 5^2 * 5^(-3)? (2023)

Practice Questions

Q1
What is the result of 5^2 * 5^(-3)? (2023)
  1. 5^1
  2. 5^(-1)
  3. 5^0
  4. 5^(-5)

Questions & Step-by-Step Solutions

What is the result of 5^2 * 5^(-3)? (2023)
  • Step 1: Identify the expression we need to solve: 5^2 * 5^(-3).
  • Step 2: Recall the property of exponents that says when you multiply two numbers with the same base, you add their exponents.
  • Step 3: Apply this property to our expression: 5^2 * 5^(-3) becomes 5^(2 + (-3)).
  • Step 4: Calculate the exponent: 2 + (-3) equals -1.
  • Step 5: Rewrite the expression with the new exponent: 5^(2 + (-3)) = 5^(-1).
  • Step 6: The final result is 5^(-1).
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