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If x = 2^3 and y = 2^2, what is the value of x/y? (2023)

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Question: If x = 2^3 and y = 2^2, what is the value of x/y? (2023)

Options:

  1. 2
  2. 4
  3. 1
  4. 8

Correct Answer: 2

Exam Year: 2023

Solution: 

We have x = 8 and y = 4. Thus, x/y = 8/4 = 2.

If x = 2^3 and y = 2^2, what is the value of x/y? (2023)

Practice Questions

Q1
If x = 2^3 and y = 2^2, what is the value of x/y? (2023)
  1. 2
  2. 4
  3. 1
  4. 8

Questions & Step-by-Step Solutions

If x = 2^3 and y = 2^2, what is the value of x/y? (2023)
  • Step 1: Calculate the value of x. Since x = 2^3, we find 2 raised to the power of 3. This means 2 * 2 * 2, which equals 8.
  • Step 2: Calculate the value of y. Since y = 2^2, we find 2 raised to the power of 2. This means 2 * 2, which equals 4.
  • Step 3: Now, we need to find the value of x/y. We have x = 8 and y = 4.
  • Step 4: Divide x by y. So, we calculate 8 divided by 4, which equals 2.
  • Exponents – Understanding how to calculate powers of numbers and their implications in division.
  • Division of Numbers – Performing division with the results of exponentiation.
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