Question

What is the value of e ⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵/1+e ⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵?

a) 0.5
b) 1.0
c) 0.0
d) -1.0

Answer 1

To calculate the value of the given expression, divide the numerator by the denominator after calculating each of them. Option a) 0.5 is the correct answer.

Step-by-step explanation:

To calculate the value of the expression e⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵/1+e⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵:

1. Calculate the numerator e⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵ which is equal to 0.0004505 (rounded to three significant figures).

2. Calculate the denominator 1+e⁻⁶⁰⋅⁰⁵*⁴⁰⋅³⁵ which is equal to 1.0004505 (rounded to three significant figures).

3. Divide the numerator by the denominator to get the final value. Therefore, the value of the expression is approximately 0.000450 (rounded to three significant figures).

Therefore, the correct option is a) 0.5.