[tex] {5}^{2} = \\ {15}^{5} \times {2}^{4} = \\ \frac{1}{ {5}^{2} } = \\ {40}^{ - 6} = \\ {( \frac{4}{2}) }^{4} = \\ {( \frac{15}{2} )}^{ - 5} = \\ {45}^{4 - 2} = \\ \sqrt{ {5}^{2} } = \\ {25}^{2} \times {5}^{2} = \\ \frac{15 \times {9}^{4} }{ {3}^{9} } [/tex]