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Chapter 0: Problem 4

Evaluate each exponential expression. $$(-2)^{4}$$

Short Answer

Expert verified
The result of evaluating the expression \(-2^{4}\) is 16.

Step by step solution

01

Understanding the Exponent

Recognize that the number -2 is being raised to the fourth power, which means -2 is multiplied by itself four times.
02

Evaluate the Power

Begin by understanding that \((-2)^{4}\) means \(-2\) multiplied by itself 4 times. This can be written as \((-2) \times (-2) \times (-2) \times (-2)\).
03

Multiply the Numbers

Now, just multiply -2 by itself four times. From multiplication rules, we knows that the multiplication of two negatives numbers yields a positive result. Hence, multiply first two \(-2\), get \((-2) \times (-2) = 4\). Again multiply \(4\) with next \(-2\) get \(4 \times (-2) = -8\). Lastly, multiply \(-8\) with last \(-2\), we get \(-8 \times (-2) = 16\).

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