The expression \(\left(-4\right)^5\) means multiplying \(-4\) by itself 5 times. Let's compute it step by step:

\[
(-4)^5 = (-4) \times (-4) \times (-4) \times (-4) \times (-4)
\]

First, pair up the negative terms:

\[
(-4) \times (-4) = 16
\]
\[
16 \times (-4) = -64
\]
\[
-64 \times (-4) = 256
\]
\[
256 \times (-4) = -1024
\]

So, \(\left(-4\right)^5 = -1024\).

Would you like a further breakdown, or do you have any questions?

Here are 5 related questions to explore:
1. What is \(\left(-3\right)^4\)?
2. How do you evaluate \((-5)^3\)?
3. What happens when you raise a negative number to an even power?
4. What is the difference between \((-2)^6\) and \(-2^6\)?
5. How do you compute large powers of negative numbers efficiently?

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

Learn how to calculate (-4)^5 by multiplying -4 by itself 5 times. This problem explores the properties of exponents and how raising a negative number to an odd power results in a negative number. Step-by-step solution included. Suitable for Grades 6-8 students.

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