Question

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

Answer 1

Ответ:

4

Объяснение:

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