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Substitution in algebra is all about replacing variables with their given values. In our exercise, we see the expression \( b^{a} \cdot b^{a} \). The variables are \( a \) and \( b \). When we substitute, it means we replace \( a \) with 2 and \( b \) with 3. This changes our expression to \( 3^{2} \cdot 3^{2} \).

Substitution helps simplify algebraic expressions so we can further solve them. Remember to always perform substitution as the first step in solving any algebra problem.

In practice, whenever you see a variable like \( x \) or \( y \), and you are given a value for it, just replace it in the expression. After substitution, it becomes easier to handle calculations.

Exponents show how many times a number, also known as the base, is multiplied by itself. For example, in the expression \( 3^{2} \), the base is 3 and the exponent is 2. This means 3 is multiplied by itself 2 times: \( 3 \times 3 \). It results in 9.

When you see an expression like \( 3^{2} \cdot 3^{2} \), each part evaluates separately to 9. Thus, our expression goes from \( 3^{2} \cdot 3^{2} \) to \( 9 \cdot 9 \).

Handling exponents can be simple if you follow these steps:

• Identify the base and the exponent.
• Multiply the base by itself as many times as indicated by the exponent.
• Simplify if needed.

When you become comfortable with exponents, you will find them in many areas of math, including geometry and calculus.

Once we have evaluated the exponents, we move to multiplication. Here, we need to multiply the results of the exponents鈥攚hich is our final step in the exercise. Going from \( 9 \cdot 9 \) to 81.

Multiplication is one of the basic arithmetic operations. To multiply two numbers, you add one of the numbers to itself as many times as the other number indicates. For instance, multiplying 9 by 9 means adding 9 to itself 9 times:

\[ 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81 \]

In simpler terms, multiply each digit and add if needed. Being comfortable with multiplication makes algebra much easier, as it is frequently used in more complex problems.

Remember these steps when multiplying numbers:

• Line up the numbers by their place values.
• Multiply each digit, starting from the right.
• Add the results if needed.