Simplify \(\frac{3^0 - 3^{-2}}{3^{-1} + 3^{-3}}\)

Solution

• \(\frac{3^0 - 3^{-2}}{3^{-1} + 3^{-3}}\) = \( \frac{1-\frac{1}{9}}{\frac{1}{3} + \frac{1}{27}}\)


• \(\frac{3^0 - 3^{-2}}{3^{-1} + 3^{-3}}\) = \(\frac{\frac{9-1}{9}}{\frac{9+1}{27}}\)


• \(\frac{3^0 - 3^{-2}}{3^{-1} + 3^{-3}}\) = \((\frac{8}{10}) (\frac{3}{1})\)


• \(\frac{3^0 - 3^{-2}}{3^{-1} + 3^{-3}}\) = \(\frac{12}{5}\)