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Chapter 0: Problem 3

Evaluate each exponential expression. $$ (-2)^{6} $$

Short Answer

Expert verified
The result of the given exponential expression \((-2)^{6}\) is 64.

Step by step solution

01

Identify the Base and the Power

The base is -2 and the exponent, also known as power, is 6. The task is to multiply -2 by itself six times.
02

Apply the Exponential Rule

A crucial rule in exponents is that any negative base raised to an even power always yields a positive result. Since here, the base is -2 (a negative number) and the power 6 is an even number, the result will be positive.
03

Carry Out Multiplication

(-2) * (-2) * (-2) * (-2) * (-2) * (-2) equals 64 because a negative times a negative gives a positive and 2*2*2*2*2*2 equals 64.

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