Let's simplify the given expression:

\[
2x \times 3^3 \times 2^5
\]

Step-by-step:

1. Simplify the powers first:
   - \( 3^3 = 27 \)
   - \( 2^5 = 32 \)

2. Now, rewrite the expression:
   \[
   2x \times 27 \times 32
   \]

3. Multiply the constants together:
   \[
   2 \times 27 = 54
   \]
   \[
   54 \times 32 = 1728
   \]

4. So, the expression simplifies to:
   \[
   1728x
   \]

The final result is:
\[
1728x
\]

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How do you simplify expressions with multiple exponents?
2. What are the properties of exponents and how are they applied in expressions?
3. How would the result change if one of the powers had been negative?
4. How can this process be applied to expressions with variables raised to a power?
5. How do you factor expressions involving exponents?

**Tip:** Always simplify exponents first in an expression before multiplying or combining terms!

Learn how to simplify the algebraic expression 2x × 3^3 × 2^5 step-by-step. Understand key algebraic concepts like exponentiation and multiplication, including how to apply the laws of exponents. Ideal for students in Grades 6-8.

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