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Jse multiplication to expand the expression below. Then compute. \[ (-4)^{5} \] Answer Attempt 1 out of 2 Press the \( \times \) button or type the * symbol on your keyboard to represent multiplication. Expanded Form: Answer:

Ask by Olson Evans. in the United States
Mar 15,2025

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Expanded Form: \[ (-4) \times (-4) \times (-4) \times (-4) \times (-4) \] Step-by-step computation: 1. \( (-4) \times (-4) = 16 \) 2. \( 16 \times (-4) = -64 \) 3. \( -64 \times (-4) = 256 \) 4. \( 256 \times (-4) = -1024 \) Answer: \[ -1024 \]

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The Deep Dive

To expand \( (-4)^5 \), we can express it as \( (-4) \times (-4) \times (-4) \times (-4) \times (-4) \). This shows that we are multiplying \(-4\) by itself five times! Now, let’s compute it step-by-step: 1. \( (-4) \times (-4) = 16 \) 2. \( 16 \times (-4) = -64 \) 3. \( -64 \times (-4) = 256 \) 4. \( 256 \times (-4) = -1024 \) So, \( (-4)^5 = -1024 \). Let’s break it down: multiplying two negative numbers results in a positive, and then multiplying that positive by a negative brings it back to negative—as you can see, it’s a bit of a seesaw!

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