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

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

Options:

  1. 1
  2. 2
  3. 3
  4. 9

Correct Answer: 3

Solution: 

Since 27 = 3^3, we have a = 3.

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

Practice Questions

Q1
If a^3 = 27, what is the value of a?
  1. 1
  2. 2
  3. 3
  4. 9

Questions & Step-by-Step Solutions

If a^3 = 27, what is the value of a?
  • Step 1: Start with the equation a^3 = 27.
  • Step 2: Recognize that 27 can be written as 3^3 (because 3 multiplied by itself three times equals 27).
  • Step 3: Now we can rewrite the equation as a^3 = 3^3.
  • Step 4: Since the bases are the same (both are cubed), we can set the exponents equal to each other: a = 3.
  • Step 5: Therefore, the value of a is 3.
  • Exponents and Roots – Understanding how to manipulate and solve equations involving exponents.
  • Cube Roots – Recognizing that finding the cube root of a number is the inverse operation of cubing that number.
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