https://file.aiquickdraw.com/mathbot/file/1727452250436irpv4ih7.jpg

The given expression is:

\[
(3k)(7k^8)
\]

To simplify this expression, follow these steps:

1. Multiply the coefficients: \(3 \times 7 = 21\).
2. Combine the powers of \(k\): \(k^1 \times k^8 = k^{1+8} = k^9\).

Thus, the simplified expression is:

\[
21k^9
\]

Would you like further details or have any questions?

Here are some related questions to deepen your understanding:
1. How do you simplify expressions with multiple variables?
2. What is the rule for multiplying powers with the same base?
3. Can this expression be factored in any other way?
4. How do you handle exponents when dividing variables with different powers?
5. What happens when there are negative exponents in the expression?

**Tip:** Always remember that when multiplying powers with the same base, you add the exponents!

Learn how to simplify the expression (3k)(7k^8) by multiplying constants and using exponent rules. The solution involves adding exponents with the same base. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation