Compare Powers: Is 2^4 Greater Than 4^2?

Question

Which is larger?

24 ——42 2^4\text{ }_{——}4^2

Video Solution

Step-by-Step Solution

To solve this problem, we will calculate 242^4 and 424^2 and then compare the results:

  • Step 1: Calculate 242^4
    242^4 means multiplying 2 by itself 4 times: 2×2×2×2=162 \times 2 \times 2 \times 2 = 16.
  • Step 2: Calculate 424^2
    424^2 means multiplying 4 by itself 2 times: 4×4=164 \times 4 = 16.
  • Step 3: Compare the results
    Since both calculations result in 16, we have 24=422^4 = 4^2.

Therefore, the correct comparison is that 242^4 is equal to 424^2. The answer to the problem is = = .

Answer

= =