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Chapter 0: Problem 7

Evaluate each exponential expression. $$(-3)^{0}$$

Short Answer

Expert verified
The evaluation of the exponential expression is 1.

Step by step solution

01

Understanding the Base and the Exponent

In the expression \(-3^{0}\), -3 is the base while 0 is the exponent. This represents the number -3 raised to the power of 0.
02

Applying the Zero Exponent Rule

The Zero Exponent Rule states that any non-zero number raised to the power of 0 equals 1. This rule applies regardless of the base, provided it's not zero.
03

Evaluate the Exponential Expression

Applying the zero exponent rule to \(-3^{0}\), it simplifies to 1.

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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.

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

If you are given a quadratic equation, how do you determine which method to use to solve it?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I can check inequalities by substituting 0 for the variable: When 0 belongs to the solution set, I should obtain a true statement, and when 0 does not belong to the solution set. I should obtain a false statement.

Will help you prepare for the material covered in the next section. A telephone texting plan has a monthly fee of \(\$ 20\) with a charge of \(\$ 0.05\) per text. Write an algebraic expression that models the plan's monthly cost for \(x\) text messages.
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