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What is the simplified form of (2^3)^2? (2023)

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Question: What is the simplified form of (2^3)^2? (2023)

Options:

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

Correct Answer: 2^6

Exam Year: 2023

Solution: 

Using the property of exponents (a^m)^n = a^(m*n), we have (2^3)^2 = 2^(3*2) = 2^6.

What is the simplified form of (2^3)^2? (2023)

Practice Questions

Q1
What is the simplified form of (2^3)^2? (2023)
  1. 2^5
  2. 2^6
  3. 2^7
  4. 2^8

Questions & Step-by-Step Solutions

What is the simplified form of (2^3)^2? (2023)
  • Step 1: Identify the expression you need to simplify, which is (2^3)^2.
  • Step 2: Recall the property of exponents that states (a^m)^n = a^(m*n).
  • Step 3: Apply this property to your expression: (2^3)^2 becomes 2^(3*2).
  • Step 4: Calculate the exponent: 3*2 equals 6.
  • Step 5: Write the final result: 2^(3*2) simplifies to 2^6.
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