Question

5.8.Нужно упростить.​

Answer 1

$1) \: \: \: \: \: \frac{( {x}^{5} {y}^{6}) {}^{4} }{ {x}^{20} {y}^{22} } = \frac{ {x}^{20} {y}^{24} }{ {x}^{20} {y}^{22} } = {y}^{2}$

$2) \: \: \: \: \: ( { \frac{ {a}^{4} }{ {b}^{3} } )}^{5} \times {b}^{17} = \frac{ {a}^{20} }{ {b}^{15} } \times {b}^{17} = {a}^{20} {b}^{2}$

$3) \: \: \: \: \: \frac{( { {x}^{8} {y}^{4} )}^{3} }{ {x}^{22} {y}^{12} } = \frac{x {}^{24} {y}^{12} }{ {x}^{22} {y}^{12} } = {x}^{2}$

$4) \: \: \: \: \: \frac{ {a}^{21} {b}^{34} }{( {a}^{10} { {b}^{17}) }^{2} } = \frac{ {a}^{21} {b}^{34} }{ {a}^{20} {b}^{34} } = a$

$5) \: \: \: \: \: {y}^{20} \times ( \frac{ {x}^{2} }{ {y}^{5} } ) {}^{4} = {y}^{20} \times \frac{ {x}^{8} }{ {y}^{20} } = {x}^{8}$

$6) \: \: \: \: \: \frac{ {z}^{19} {t}^{41} }{( {z}^{6} { {t}^{13}) }^{3} } = \frac{ {z}^{19} {t}^{41} }{ {z}^{18} {t}^{39} } = z {t}^{2}$