Question

question 1.b
selected response: 1 point for correct answer only
simplify: ((-3)^0)
a. 1
b. -1
c. 3
d. -3

Explanation:

Step1: Recall the negative exponent rule

The negative exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\) for any non - zero number \(a\) and positive integer \(n\). In the expression \((- 3)^{-2}\), we have \(a=-3\) and \(n = 2\).

Step2: Apply the negative exponent rule

Using the rule \(a^{-n}=\frac{1}{a^{n}}\), we get \((-3)^{-2}=\frac{1}{(-3)^{2}}\)

Step3: Calculate the denominator

We know that \((-3)^{2}=(-3)\times(-3) = 9\)

Step4: Write the final result

Since \((-3)^{-2}=\frac{1}{(-3)^{2}}\) and \((-3)^{2}=9\), then \((-3)^{-2}=\frac{1}{9}\)

Answer:

\(\frac{1}{9}\)