Question

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

Explanation:

Step1: Calculate exponents

First, we calculate the exponents in the expression. For \(2^3\), we know that \(2^3 = 2\times2\times2 = 8\), and for \(2^2\), we have \(2^2 = 2\times2 = 4\). So the expression becomes \(\frac{5}{8 + 1}+4 - 4\).

Step2: Simplify the denominator

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

Step3: Simplify the remaining terms

Then, we look at the \(4 - 4\) part, which equals \(0\). So the expression simplifies to \(\frac{5}{9}+0\).

Step4: Final result

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

Answer:

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