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

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

Solution

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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