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In algebra, substitution is an important method for solving expressions. The primary idea is to replace the variables in an expression with their assigned values. This technique helps simplify the expression, making it easier to evaluate.
Consider the algebraic expression provided in the exercise: \(a^b + b^a\).
We were given values for the variables: \(a = 2\) and \(b = 3\). By substituting these values into the expression,\ we obtain \(2^3 + 3^2\). This step ensures that we replace abstract symbols (letters)\ with concrete numbers, simplifying further calculations.
Learning to substitute correctly is crucial. Always ensure that you place the given numbers exactly where the corresponding variables are in the expression. This approach will lead to accurate calculations and correct results.

Exponents are a fundamental concept in algebra. They help express large numbers in a compact form and are crucial in various algebraic operations. Exponents indicate how many times a number, known as the base, is multiplied by itself.
In the exercise, we encounter the terms \(2^3\) and \(3^2\). Here, 2 and 3 are the bases, and the exponents are 3 and 2, respectively.
When we have \(2^3\), it means 2 multiplied by itself three times: \(2 \times 2 \times 2 = 8\). Similarly, \(3^2\) means 3 multiplied by itself twice: \(3 \times 3 = 9\).
Understanding exponents allows you to simplify expressions and solve equations efficiently. It is important to practice working with exponents to become comfortable with their rules and applications.

Adding numerical expressions is a basic but essential skill in math. After evaluating individual terms, we often need to combine the results to get the final answer.
In our exercise, after evaluating \(2^3\) and \(3^2\), we got the values 8 and 9. The next step was to add these two numbers:
\(8 + 9\)
Adding these values together gives us a final result of 17.
To add numerical expressions accurately, line up the numbers and add digit by digit, keeping in mind the place value of each digit. This approach helps avoid errors and ensures the calculation is correct.
Practicing addition with various expressions will strengthen your understanding of how to combine results effectively.