Can anyone walk me through the solution of this problem?

1/2(1600/E)^1/2*50=?
Thank You

Of course! I'd be happy to walk you through the solution to this problem.

To solve the equation 1/2(1600/E)^1/2 * 50, we'll follow the order of operations (also known as PEMDAS: Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to simplify the expression step by step.

Step 1: Let's start by simplifying the exponent: (1600/E)^1/2.
To do this, we need to take the square root of the expression inside the parentheses.

The square root of 1600 is 40 because 40^2 equals 1600.
So, the expression becomes (40/E) * 50.

Step 2: Now, we'll evaluate the multiplication. Multiply (40/E) with 50:
(40/E) * 50 = 2000/E.

Therefore, the simplified expression is 2000/E.

And that's the solution! The expression 1/2(1600/E)^1/2 * 50 simplifies to 2000/E.