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The problem provided is:

**(a) \( 3^2 \times 2^3 \)**

Let's solve this step by step:

1. Evaluate \( 3^2 \):
   \[
   3^2 = 3 \times 3 = 9
   \]

2. Evaluate \( 2^3 \):
   \[
   2^3 = 2 \times 2 \times 2 = 8
   \]

3. Multiply the results:
   \[
   9 \times 8 = 72
   \]

So, the solution to part (a) is:
\[
3^2 \times 2^3 = 72
\]

Would you like further details or have any questions? Here are some related questions to explore:

1. What is the general rule for multiplying exponents with the same base?
2. How would you solve \( 3^2 \times 3^3 \) instead?
3. What are the rules for adding and subtracting exponents?
4. How can you simplify \( (2 \times 3)^3 \) using exponents?
5. What happens if you raise a power to another power, like \( (3^2)^3 \)?

**Tip:** Remember, when multiplying numbers with exponents, evaluate each exponent first before performing the multiplication.

Learn how to solve the exponential multiplication problem 3^2 × 2^3. This step-by-step guide explains the laws of exponents and basic arithmetic for students in Grades 6-8.

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