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[tex]( { {5}^{2} \times {2}^{4} })^{2} ( {5}^{ - 2} \times {2}^{5} ) = [/tex]
[tex] {5}^{2 \times 2} \times {2}^{4 \times 2} \times {5}^{ - 2} \times {2}^{5} = [/tex]
[tex] {5}^{4} \times {2}^{8} \times {5}^{ - 2} \times {2}^{5} = [/tex]
[tex] {5}^{4} \times {5}^{ - 2} \times {2}^{8} \times {2}^{5} = [/tex]
[tex] {5}^{4 + ( - 2)} \times {2}^{8 + 5} = [/tex]
[tex] {5}^{4 - 2} \times {2}^{13} = [/tex]
[tex] {5}^{2} \times {2}^{13} = [/tex]
[tex] {2}^{13} \times {5}^{2} [/tex]
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