a)[tex](-2)^4 . (-2) . \frac{1}{(-2)^{-6}} =\\16 . (-2) . 1 . (-2)^6 = -32 .64 = -2^5.2^6 = -2^{11}[/tex]b)[tex]\frac{2^{50}.(2.5)^{50}}{(2^2)^{37}.5^37} =\\\frac{2^{50} . 2^{50}.5^{50}}{2^{74}.5^{37}} =2^{100-74} . 5 ^{50-37} = 2^{26} . 5^{13}[/tex]c) [tex]3^{3p+(-2p)} =\\3^{p}[/tex]
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a)
[tex](-2)^4 . (-2) . \frac{1}{(-2)^{-6}} =\\16 . (-2) . 1 . (-2)^6 = -32 .64 = -2^5.2^6 = -2^{11}[/tex]
b)
[tex]\frac{2^{50}.(2.5)^{50}}{(2^2)^{37}.5^37} =\\\frac{2^{50} . 2^{50}.5^{50}}{2^{74}.5^{37}} =2^{100-74} . 5 ^{50-37} = 2^{26} . 5^{13}[/tex]
c)
[tex]3^{3p+(-2p)} =\\3^{p}[/tex]