Question

Помогите решить:
3^146
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(1/6)^75*54^72

Answer 1

$frac{3^{146}}{( frac{1}{6})^{75}*54^{72} } = frac{3^{146}}{ frac{1}{6^{75}} *(2*3^3)^{72}} = frac{3^{146}}{ frac{1}{(2*3)^{75}}*2^{72}*(3^3)^{72}} = frac{3^{146}}{ frac{1}{2^{75}*3^{75}} *2^{72}*3^{216}} =$
$= frac{3^{146}}{ frac{1}{2^3}*3^{141} } = frac{3^5}{ frac{1}{2^3} } = frac{3^5*2^3}{1} =243*8=1944.$