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If x = 2 and y = 3, what is the value of 2^(x+y)?

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Question: If x = 2 and y = 3, what is the value of 2^(x+y)?

Options:

  1. 8
  2. 16
  3. 32
  4. 64

Correct Answer: 16

Solution: 

Substituting x and y gives us 2^(2+3) = 2^5 = 32.

If x = 2 and y = 3, what is the value of 2^(x+y)?

Practice Questions

Q1
If x = 2 and y = 3, what is the value of 2^(x+y)?
  1. 8
  2. 16
  3. 32
  4. 64

Questions & Step-by-Step Solutions

If x = 2 and y = 3, what is the value of 2^(x+y)?
  • Step 1: Identify the values of x and y. Here, x = 2 and y = 3.
  • Step 2: Add the values of x and y together. So, 2 + 3 = 5.
  • Step 3: Substitute the sum into the expression 2^(x+y). This gives us 2^5.
  • Step 4: Calculate 2^5. This means 2 multiplied by itself 5 times: 2 * 2 * 2 * 2 * 2.
  • Step 5: Perform the multiplication: 2 * 2 = 4, then 4 * 2 = 8, then 8 * 2 = 16, and finally 16 * 2 = 32.
  • Step 6: The final answer is 32.
  • Exponents – Understanding how to evaluate expressions involving exponents and the properties of addition.
  • Substitution – The ability to substitute values into an expression correctly.
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