Question

Вычислите:
27^2*75/375*9^3

16^2*18/162*4^3

^-степень
*-умножение

Answer 1

$\frac{27^{2}*75 }{375*9^{3} } =\frac{(3^{3} )^{2}*5^{2} *3 }{3*5^{3} *(3^{2} )^{3} }=</p><p>\frac{3^{7} *5^{2} }{5^{3} *3^{7} }=5^{2} :5^{3} =5^{-1} =\frac{1}{5}$

$\frac{16^{2}*18 }{162*4^{3} } = \frac{(2^{4} )^{2}*3^{2}*2 }{3^{4}*2*(2^{2} )^{3} }=</p><p>\frac{2^{9} *3^{2} }{3^{4}*2^{7} }=\frac{2^{2} }{3^{2} }=\frac{4}{9}$