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is 2^3/2^2 equivalent to 1/2

1 answer

Yes, 2^(3/2) / 2^2 is equivalent to 1/2.

To understand why, let's break it down step by step:

First, we have 2^(3/2). This means taking the square root of 2 and then raising it to the power of 3. The square root of 2 is approximately 1.414. So, 2^(3/2) is equal to (1.414)^3, which is approximately 2.828.

Next, we have 2^2, which is 2 * 2 = 4.

Therefore, 2^(3/2) / 2^2 is equal to 2.828/4, which simplifies to 0.707.

This is not equivalent to 1/2, so the statement is incorrect.