https://file.aiquickdraw.com/mathbot/file/1727051457861lia1j9t9.jpg

The expression in the image is \( 3u(-6u^5) \).

To simplify this:

\[
3u(-6u^5) = 3 \cdot (-6) \cdot u \cdot u^5
\]

\[
= -18u^{1+5} = -18u^6
\]

The simplified form is \( -18u^6 \).

Would you like more details on the steps? Here are some related questions:

1. What are the basic rules of exponent addition when multiplying variables?
2. How do you apply the distributive property in algebraic expressions like this one?
3. What happens if one of the exponents is negative in a similar expression?
4. How would the expression change if there was a division instead of multiplication?
5. Can you explain the process of simplifying other similar algebraic terms?

**Tip:** When multiplying variables with the same base, add their exponents.

Learn how to simplify the algebraic expression 3u(-6u^5) by applying the laws of exponents. This step-by-step solution demonstrates the process of multiplying variables with exponents, resulting in the simplified expression -18u^6. Ideal for students in Grades 8-10.

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