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What is the value of 5^2 * 5^3?

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Question: What is the value of 5^2 * 5^3?

Options:

  1. 5^5
  2. 5^6
  3. 5^7
  4. 5^8

Correct Answer: 5^5

Solution:

Using the property of exponents, 5^2 * 5^3 = 5^(2+3) = 5^5.

What is the value of 5^2 * 5^3?

Practice Questions

Q1
What is the value of 5^2 * 5^3?
  1. 5^5
  2. 5^6
  3. 5^7
  4. 5^8

Questions & Step-by-Step Solutions

What is the value of 5^2 * 5^3?
  • Step 1: Identify the numbers and their exponents. We have 5^2 and 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 the property: 5^2 * 5^3 becomes 5^(2 + 3).
  • Step 4: Calculate the sum of the exponents: 2 + 3 = 5.
  • Step 5: Write the final result using the new exponent: 5^5.
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