Автор - Baunty1999

Вычислите: frac{144^{m-1}}{6^{2m-2} 4^{m-2} }

Ответ

Автор - fikort

Ответ:

4

Объяснение:

frac{144^{m-1}}{6^{2m-2}*4^{m-2} } =frac{12^{2m-2} }{6^{2m-2}*4^{m-2}} = frac{12^{2m} *6^{2}*4^{2}}{12^{2} *6^{2m}*4^{m}}= frac{12^{2m} *6^{2}*4^{2}}{12^{2} *6^{2m}*2^{2m}} = frac{12^{2m} *24^{2}}{12^{2m}*12^{2}} = frac{24^{2} }{12^{2}}= (frac{24}{12}) ^{2} = 2^{2}= 4

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