https://file.aiquickdraw.com/mathbot/file/1726757348050dq2o20x3.jpg

The mathematical expression in the image is:

\[
6 \cdot 6^6
\]

### Steps to solve:

1. First, evaluate \( 6^6 \):
   \[
   6^6 = 46656
   \]

2. Now, multiply this result by 6:
   \[
   6 \cdot 46656 = 279936
   \]

Thus, the value of \( 6 \cdot 6^6 \) is **279936**.

Would you like more details on this calculation or have any further questions?

Here are some related questions to explore:

1. How do we handle larger powers, such as \( 6^8 \)?
2. Can we express \( 6^6 \) using logarithms or other forms?
3. What is the difference between \( 6 \cdot 6^6 \) and \( (6 \cdot 6)^6 \)?
4. How does exponentiation behave with different bases?
5. How would you simplify a similar expression with variables like \( x \cdot x^n \)?

**Tip:** When dealing with large powers, breaking down the exponentiation step-by-step can make calculations clearer and more manageable.

Discover how to solve the mathematical expression 6 · 6^6, involving exponentiation and multiplication. Learn step-by-step to simplify this expression and find the solution 279936. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation