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Chapter 0: Problem 6

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

Short Answer

Expert verified
-2^{4} = 16

Step by step solution

01

Understanding the exponential notation

The exponential notation in the problem is -2^{4}. An exponent refers to the number of times a number is multiplied by itself. In this case, -2 is the base and 4 is the exponent. It means -2 is multiplied by itself 4 times.
02

Calculate the expression

Now, calculate the expression by multiplying -2 by itself four times i.e. (-2) * (-2) * (-2) * (-2). When a negative number is multiplied by itself an even number of times, the result is positive, because a negative times a negative equals a positive.
03

Result

After calculating the expression, we have: 16. Therefore, -2^{4} = 16.

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