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Chapter 0: Problem 3

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

Short Answer

Expert verified
The result of (-2)^6 is 64.

Step by step solution

01

Identify the base and the exponent

In the given expression, the base is -2 and the power or the exponent is 6.
02

Apply the exponent rule

An exponent of a number indicates how many times the base is used as a factor. When the base is a negative number and the exponent is an even number, the result is a positive number because the product of an even number of negative factors is positive. Therefore, (-2)^6 equals to (-2)*(-2)*(-2)*(-2)*(-2)*(-2) .
03

Calculation

Calculate the multiplication result, you will get 64.

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Most popular questions from this chapter

Perform the indicated operations. Simplify the result, if possible. $$\left(2-\frac{6}{x+1}\right)\left(1+\frac{3}{x-2}\right)$$

Will help you prepare for the material covered in the next section. If the width of a rectangle is represented by \(x\) and the length is represented by \(x+200\), write a simplified algebraic expression that models the rectangle's perimeter.

Perform the indicated operations. $$(x-y)^{-1}+(x-y)^{-2}$$

Perform the indicated operations. $$\frac{1}{x^{n}-1}-\frac{1}{x^{n}+1}-\frac{1}{x^{2 n}-1}$$

Explain how to solve \(x^{2}+6 x+8=0\) by completing the square.
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