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Which of the following represents the expression 10^(3x) in terms of its base?

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Question: Which of the following represents the expression 10^(3x) in terms of its base?

Options:

  1. 1000^x
  2. 100^x
  3. 10^x * 10^x * 10^x
  4. 10^(x^3)

Correct Answer: 1000^x

Solution: 

10^(3x) can be rewritten as (10^3)^x = 1000^x.

Which of the following represents the expression 10^(3x) in terms of its base?

Practice Questions

Q1
Which of the following represents the expression 10^(3x) in terms of its base?
  1. 1000^x
  2. 100^x
  3. 10^x * 10^x * 10^x
  4. 10^(x^3)

Questions & Step-by-Step Solutions

Which of the following represents the expression 10^(3x) in terms of its base?
  • Step 1: Start with the expression 10^(3x).
  • Step 2: Use the property of exponents that states a^(m*n) = (a^m)^n.
  • Step 3: Rewrite 10^(3x) as (10^3)^x.
  • Step 4: Calculate 10^3, which equals 1000.
  • Step 5: Substitute 1000 back into the expression to get (1000)^x.
  • Step 6: Conclude that 10^(3x) can be expressed as 1000^x.
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