https://file.aiquickdraw.com/mathbot/file/1728404198956w535w6ev.jpg

The expression in the image is \((7^8)^3\).

To solve this, we apply the power of a power rule in exponents, which states:

\[
(a^m)^n = a^{m \cdot n}
\]

Here, \(a = 7\), \(m = 8\), and \(n = 3\). Thus, we get:

\[
(7^8)^3 = 7^{8 \cdot 3} = 7^{24}
\]

The simplified expression is \(7^{24}\).

Would you like further explanation, or do you have any specific questions about this? 

### Related Questions:
1. How do you simplify expressions with multiple exponents?
2. What is the general rule for multiplying powers of the same base?
3. How would you calculate \(7^{24}\) using a calculator?
4. Can you apply this exponent rule to roots as well?
5. What are some real-world applications of exponential powers?

### Tip:
When dealing with multiple powers in an expression, always combine exponents carefully using the laws of exponents to simplify calculations.

Learn how to simplify the exponential expression (7^8)^3 using the power of a power rule in exponents. This problem covers essential mathematical concepts and exponent laws and is 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