Questions: Evaluate the expression (-2)^4.

Evaluate the expression (-2)^4.
Transcript text: Evaluate the expression $(-2)^{4}$. Your answer is $\square$
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Solution

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Solution Steps

To evaluate the expression \((-2)^4\), we need to multiply \(-2\) by itself four times. This involves calculating the power of a negative number, which will result in a positive number since the exponent is even.

Step 1: Understanding the Expression

The expression \((-2)^4\) involves raising the number \(-2\) to the power of 4. This means we need to multiply \(-2\) by itself four times.

Step 2: Calculating the Power

To calculate \((-2)^4\), we perform the multiplication: \[ (-2) \times (-2) \times (-2) \times (-2) \]

Step 3: Simplifying the Multiplication

First, calculate \((-2) \times (-2) = 4\). Then, multiply the result by \((-2)\) again: \[ 4 \times (-2) = -8 \] Finally, multiply by \((-2)\) one more time: \[ -8 \times (-2) = 16 \]

Final Answer

\(\boxed{16}\)

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