Step 1 :\(g(-3) = \left(\frac{1}{3}\right)^{-3}\)
Step 2 :Rewrite the expression using the property \(a^{-n} = \frac{1}{a^n}\): \(g(-3) = \frac{1}{\left(\frac{1}{3}\right)^3}\)
Step 3 :Calculate \(\left(\frac{1}{3}\right)^3 = \frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}\)
Step 4 :Substitute \(\frac{1}{27}\) into the expression: \(g(-3) = \frac{1}{\frac{1}{27}}\)
Step 5 :Dividing by a fraction is the same as multiplying by its reciprocal: \(g(-3) = 1 * \frac{27}{1} = 27\)
Step 6 :\(\boxed{g(-3) = 27}\)