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What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)

Practice Questions

Q1
What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)
  1. 5
  2. 1
  3. 25
  4. 125

Questions & Step-by-Step Solutions

What is the value of 5^(2) * 5^(3) / 5^(4)? (2023)
  • Step 1: Identify the expression we need to simplify: 5^(2) * 5^(3) / 5^(4).
  • Step 2: Use the property of exponents that says when you multiply like bases, you add the exponents. So, 5^(2) * 5^(3) becomes 5^(2 + 3).
  • Step 3: Calculate the sum of the exponents: 2 + 3 = 5. Now we have 5^(5) / 5^(4).
  • Step 4: Now, use the property of exponents that says when you divide like bases, you subtract the exponents. So, 5^(5) / 5^(4) becomes 5^(5 - 4).
  • Step 5: Calculate the difference of the exponents: 5 - 4 = 1. Now we have 5^(1).
  • Step 6: Finally, 5^(1) is simply 5.
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