https://file.aiquickdraw.com/mathbot/file/1727740154247udwzp3ay.jpg

The image shows an exponent problem: \((7^3)^3\).

To rewrite this expression using a single exponent, we can apply the **Power of a Power Rule**. This rule states:

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

For the given problem, this means:

\[
(7^3)^3 = 7^{3 \cdot 3} = 7^9
\]

So, the answer is \(7^9\).

Would you like more details or have any questions?

Here are some related questions for practice:
1. How would you simplify \((2^5)^4\)?
2. What is the result of \((3^2)^6\) using the power rule?
3. Can you apply the power rule to \((x^3)^2\)?
4. How do you simplify \((10^4)^5\)?
5. What happens if the base is negative, e.g., \((-5^2)^3\)?

**Tip**: When using the power of a power rule, always multiply the exponents, no matter what the base is.

Learn how to simplify the expression (7^3)^3 using the Power of a Power Rule in algebra. This step-by-step explanation demonstrates the exponent rules, key concepts, and suitable methods for students in Grades 7-9.

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