https://file.aiquickdraw.com/mathbot/file/17273146974103dmftj8y.jpg

The expression in the image shows:

\[
3^1 \times 3^{-2} \times 3^3
\]

To simplify this expression, you can use the rule of exponents that states:

\[
a^m \times a^n = a^{m+n}
\]

Applying this rule to the given expression:

\[
3^1 \times 3^{-2} \times 3^3 = 3^{1 + (-2) + 3}
\]

Now, simplify the exponents:

\[
1 + (-2) + 3 = 2
\]

Thus, the expression simplifies to:

\[
3^2 = 9
\]

The simplified value is \( 9 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. What are the general rules for multiplying powers with the same base?
2. How do you handle negative exponents when simplifying expressions?
3. How can you express division of powers using exponents?
4. What happens when the exponent is zero in any power expression?
5. Can exponent rules be applied to other mathematical operations like roots?

**Tip**: When multiplying powers with the same base, always remember to add the exponents!

Simplify the expression 3^1 × 3^(-2) × 3^3

Learn how to simplify the expression 3^1 × 3^(-2) × 3^3 using exponent rules. This step-by-step solution demonstrates the application of exponent addition and multiplication rules. Perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation