is 2^3/2^2 equivalent to 1/64

Answer 1

No, 2^(3/2) / 2^2 is not equivalent to 1/64.

To simplify 2^(3/2), we can rewrite it as the square root of 2 cubed: √(2^3) which is √(2*2*2) = √8.

And 2^2 simplifies to 2*2 = 4.

Therefore, 2^(3/2) / 2^2 is equal to √8 / 4.

We can further simplify this by dividing the numerator and denominator by 2 to get √(8) / 2.

This is not equivalent to 1/64.