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Chapter 0: Problem 4

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

Short Answer

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

Step by step solution

01

Identify the Base and the Exponent

The base is the number being multiplied which here is \(-2\) and the exponent is 4 which tells us how many times the base is multiplied by itself.
02

Apply Exponentiation Rules

Exponentiation is an operation on two numbers. Based on the exponent rules, multiply \(-2\) by itself 4 times. This equals to \((-2) * (-2) * (-2) * (-2)\).
03

Calculate the Result

Calculate the value of expression. \((-2) * (-2)\) is \(4\), and \(4 * 4 = 16\) and \((-2) * (-2) = 4\), so overall result is \(16\).

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Most popular questions from this chapter

In more U.S. marriages, spouses have different faiths. The bar graph shows the percentage of households with an interfaith marriage in 1988 and \(2012 .\) Also shown is the percentage of households in which a person of faith is married to someone with no religion. The formula $$ I=\frac{1}{4} x+26 $$ models the percentage of U.S. households with an interfaith marriage, \(I, x\) years after \(1988 .\) The formula $$ N=\frac{1}{4} x+6 $$ models the percentage of U.S households in which a person of faith is married to someone with no religion, \(N, x\) years after \(1988 .\) Use these models to solve Exercises \(107-108\). The formula for converting Celsius temperature, \(C,\) to Fahrenheit temperature, \(F\), is $$ F=\frac{9}{5} C+32 $$ If Fahrenheit temperature ranges from \(41^{\circ}\) to \(50^{\circ},\) inclusive, what is the range for Celsius temperature? Use interval notation to express this range.

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Explain how to determine which numbers must be excluded from the domain of a rational expression.
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