Evaluate the expression.

open parentheses negative 7 close parentheses to the power of 4

To evaluate \((-7)^4\), follow these steps:

\[
(-7)^4 = (-7) \times (-7) \times (-7) \times (-7)
\]

1. First, multiply the first two factors:
   \[
   (-7) \times (-7) = 49
   \]
   
2. Then, multiply the next two factors:
   \[
   49 \times (-7) = -343
   \]
   
3. Finally, multiply by the last \(-7\):
   \[
   -343 \times (-7) = 2401
   \]

Therefore, \((-7)^4 = 2401\).

Would you like more details on the steps or any other clarifications?

Here are 5 related questions for practice:
1. What is \((-3)^5\)?
2. How would you evaluate \((-2)^6\)?
3. What is \( (-4)^3 \)?
4. How does the sign change when raising negative numbers to even vs odd powers?
5. What is \( (-5)^2 + (-5)^3 \)?

**Tip:** When raising a negative number to an even power, the result is always positive.

Evaluate the expression (−7) to the power of 4.

Learn how to evaluate the expression (−7)^4 with a clear step-by-step guide. Understand the rules of exponents, the behavior of negative numbers raised to powers, and the process of solving such expressions. Suitable for students in Grades 6-8.

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