To find the value of the expression (64x^4)^0.5 * 4x^-2, we can simplify the equation.
Let's start with the expression (64x^4)^0.5. To simplify this, we can take the square root of 64 and the square root of x^4 separately.
The square root of 64 is 8, because 8 * 8 = 64.
The square root of x^4 is x^2, because (x^2)^2 = x^4.
So, (64x^4)^0.5 simplifies to 8x^2.
Now let's simplify the expression 4x^-2. The negative exponent can be rewritten as a positive exponent by taking the reciprocal of the base.
x^-2 is equal to 1/x^2.
Therefore, 4x^-2 simplifies to 4/x^2.
Now, let's multiply the two simplified expressions together:
8x^2 * 4/x^2 = 32.
So, the value of the expression (64x^4)^0.5 * 4x^-2 is 32.