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What is the value of 5^(-2)?

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Question: What is the value of 5^(-2)?

Options:

  1. 0.04
  2. 0.2
  3. 2.5
  4. 25

Correct Answer: 0.04

Solution: 

5^(-2) is equal to 1/(5^2) = 1/25 = 0.04.

What is the value of 5^(-2)?

Practice Questions

Q1
What is the value of 5^(-2)?
  1. 0.04
  2. 0.2
  3. 2.5
  4. 25

Questions & Step-by-Step Solutions

What is the value of 5^(-2)?
  • Step 1: Understand that 5^(-2) means 5 raised to the power of -2.
  • Step 2: Recall that a negative exponent means you take the reciprocal. So, 5^(-2) is the same as 1/(5^2).
  • Step 3: Calculate 5^2, which is 5 times 5. This equals 25.
  • Step 4: Now substitute back into the equation: 5^(-2) = 1/25.
  • Step 5: Finally, calculate 1/25, which equals 0.04.
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