Question

(5 1/3)^7*(3/16)^8
Сколько будет?​

Answer 1

Объяснение:

$\tt\displaystyle \[{\left( {5\frac{1}{3}} \right)^7}*{\left( {\frac{3}{{16}}} \right)^8} = {\left( {\frac{{16}}{3}} \right)^7}*{\left( {\frac{{16}}{3}} \right)^{-8}}={\left( {\frac{{16}}{3}} \right)^{7+( - 8)}}={\left( {\frac{{16}}{3}} \right)^{7- 8}} = {\left( {\frac{{16}}{3}} \right)^{-1}} = \boxed{\frac{3}{{16}}}\]$