Solve the problem involving exponents 1/2⋅4−3/2

Answer 1

To solve this problem, we need to simplify the expression involving exponents.

First, let's simplify the exponent. We have 4^(-3/2). To simplify this, we can rewrite it as the reciprocal of the square root of 4 cubed:

4^(-3/2) = 1/(√4)^3 = 1/2^3 = 1/8.

Next, let's simplify the expression 1/2⋅(1/8):

1/2 ⋅ 1/8 = 1/16.

Therefore, the solution to the problem is 1/16.