Question

Знайти значення виразу 2^21*27^3+15*4^10*9^4/6^9*2^10+12^10

Answer 1

Пошаговое объяснение:

$\frac{2^{21}*27^{3}+15*4^{10}*9^{4} }{6^{9}*2^{10}+12^{10} } = \frac{2^{21}*(3^{3})^{3} +5*3*(2^{2})^{10} *(3^{2})^{4} }{(2*3)^{9}*2^{10}+(3*2^{2})^{10} } = \frac{2^{21}*3^{9}+5*2^{20}*3^{9} }{2^{9}*3^{9}*2^{10}+3^{10} *2^{20} } =\frac{2^{20}*3^{9}*(2+5) }{2^{19}*3^{9}+3^{10}*2^{20} } = \frac{2^{20}*3^{9}*7 }{2^{19}*3^{9}+3^{10}*2^{20} } = \frac{2^{20}*3^{9}*7 }{2^{19}*3^{9}(1+3*2) }= \frac{2^{20}*3^{9}*7 }{2^{19}*3^{9}*7 }= 2$