Question

b. \\(\frac{5}{2^3 + 1} + 4 - 2^2\\)

Explanation:

Step1: Calculate exponents

First, calculate the exponents in the expression. We have \(2^3 = 8\) and \(2^2 = 4\). So the expression becomes \(\frac{5}{8 + 1}+4 - 4\).

Step2: Simplify the denominator

Next, simplify the denominator of the fraction. \(8 + 1 = 9\), so now the expression is \(\frac{5}{9}+4 - 4\).

Step3: Simplify the remaining terms

Now, simplify \(4 - 4 = 0\). So the expression is \(\frac{5}{9}+0\).

Step4: Final result

Adding 0 to \(\frac{5}{9}\) gives \(\frac{5}{9}\).

Answer:

\(\frac{5}{9}\)