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If a^3 = 27, then the value of a is?

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Question: If a^3 = 27, then the value of a is?

Options:

  1. 1
  2. 2
  3. 3
  4. 4

Correct Answer: 3

Solution: 

Taking the cube root of both sides, a = 27^(1/3) = 3.

If a^3 = 27, then the value of a is?

Practice Questions

Q1
If a^3 = 27, then the value of a is?
  1. 1
  2. 2
  3. 3
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Questions & Step-by-Step Solutions

If a^3 = 27, then the value of a is?
  • Step 1: Start with the equation a^3 = 27.
  • Step 2: To find the value of a, we need to get rid of the exponent (the 3).
  • Step 3: We do this by taking the cube root of both sides of the equation.
  • Step 4: The cube root of a^3 is just a, so we write it as a = (27)^(1/3).
  • Step 5: Now we need to calculate the cube root of 27.
  • Step 6: The cube root of 27 is 3 because 3 * 3 * 3 = 27.
  • Step 7: Therefore, we find that a = 3.
  • Exponents and Roots – Understanding how to manipulate equations involving exponents and finding roots.
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