Question

! СРОЧНО !


ПОМОГИТЕ ПЖ​

Answer 1

$1) \: \: \: \: \: \frac{ {5}^{7 } \times {7}^{8} }{ {35}^{7} } = \frac{ {5}^{7} \times {7}^{8} }{ {5}^{7} \times {7}^{7} } = 7$

$2) \: \: \: \: \: \frac{ {2}^{17} \times {3}^{6} }{ {24}^{5} } = \frac{ {2}^{17} \times {3}^{6} }{ {8}^{5} \times 3 {}^{5} } = \frac{ {2}^{17} \times {3}^{6} }{ {2}^{5} \times {2}^{5} \times {2}^{5} \times {3}^{5} } = {2}^{2} \times 3 = 4 \times 3 = 12$

$3) \: \: \: \: \: \frac{ {36}^{7} }{ {2}^{12} \times {3}^{10} } = \frac{ ({6}^{2} ){}^{7} }{ {2}^{12} \times {3}^{10} } = \frac{ {6}^{14} }{ {2}^{12} \times {3}^{10} } = \frac{ {2}^{14} \times {3}^{14} }{ {2}^{12} \times {3}^{10} } = {2}^{2} \times {3}^{4} = 4 \times81 = 324$

$4) \: \: \: \: \: \frac{ {27}^{3} }{ {18}^{4} } = \frac{ { {(3}^{3} )}^{3} }{ {9}^{4} \times {2}^{4} } = \frac{ {3}^{9} }{ { {(3}^{2} )}^{4} \times {2}^{4} } = \frac{ {3}^{9} }{ {3}^{8} \times 16 } = \frac{3}{16} = 0.1875$