Evaluate the following: `\ (0. 99)^5+(1. 01)^5`

Explanation

To evaluate \( (0.99)^5 + (1.01)^5 \), we can use the Binomial Theorem. The Binomial Theorem states that:

\[ (a + b)^n = \sum_{k=0}^{n} \binom{n}{k} a^{n-k} b^k \]

In our case, we can rewrite \( (1 - 0.01)^5 \) and \( (1 + 0.01)^5 \) using the Binomial Theorem.

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