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Chapter 0: Problem 6

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

Short Answer

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

Step by step solution

01

Understand exponential notation

Exponential notation consists of the base, here -2, and the exponent, that's 4. The exponent tells us how many times to multiply the base by itself.
02

Apply the rule of the exponent

The exponent here is an 4, which is an even number. When a negative number, which is our base -2 here, is raised to an even exponent, the result is positive. Therefore, we multiply -2 by itself 4 times: \( (-2) \times (-2) = 4 \), and then multiply the result two more times: \( 4 \times 4 = 16 \).
03

Write down the result

The result of evaluating the exponential expression is thus positive 16.

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