https://file.aiquickdraw.com/mathbot/file/17270389416282efb8tda.jpg

The image you uploaded contains an expression that appears to be:

\[
(x^2)^3 \cdot 5x^4
\]

Let me simplify this for you step by step:

1. **Simplify the power of a power**: 
   \[
   (x^2)^3 = x^{2 \cdot 3} = x^6
   \]

2. **Multiply the simplified term with the rest of the expression**:
   \[
   x^6 \cdot 5x^4 = 5x^{6 + 4} = 5x^{10}
   \]

So, the simplified expression is:

\[
5x^{10}
\]

Would you like any more details, or do you have any questions about this?

Here are 5 related questions to deepen your understanding:

1. How do you handle exponents when multiplying terms with the same base?
2. What happens when you raise a power to another power?
3. Can you apply this to more complex expressions, like \((x^a)^b \cdot cx^d\)?
4. What are some real-world applications of exponential expressions like this?
5. How would the process change if the expression involved division instead of multiplication?

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

This page explains how to simplify the expression (x^2)^3 * 5x^4 using the power of a power rule and multiplication of powers. Learn how exponents are added when multiplying terms with the same base, suitable for Grades 9-11.

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