# How do you simplify i^36?

${i}^{36} = 1$
${i}^{2} = - 1$
${i}^{4} = {\left({i}^{2}\right)}^{2} = {\left(- 1\right)}^{2} = 1$
${i}^{36} = {\left({i}^{4}\right)}^{9} = {1}^{9} = 1$