Question

даю 20 баллов
1) (5³)⁶:5/(5²)³•5²
2) (3⁸)³•3⁵/(3²)¹⁰•(3⁴)²
3) (-2а¹⁰в²⁰)²:(-а²в³)³:(-2а⁵в²⁴)²​

Answer 1

Ответ:

$1) \: \: \: \frac{ {( {5}^{3} )}^{6} \div 5 }{ {( {5}^{2}) }^{3} \times {5}^{2} } = \frac{ {5}^{18 - 1} }{ {5}^{6 + 2} } = \frac{ {5}^{17} }{ {5}^{8} } = {5}^{9} \\ 2) \: \: \: \frac{ {( {3}^{8}) }^{3} \times {3}^{5} }{ {( {3}^{2}) }^{10} \times {( {3}^{4}) }^{2} } = \frac{ {3}^{24} \times {3}^{5} }{ {3}^{20} \times {3}^{8} } = \frac{ {3}^{29} }{ {3}^{28} } = 3 \\ 3) \: \: \: ( - 2 {a}^{10} {b}^{20} ) ^{2} \div ( { - a}^{2} {b}^{3} ) ^{3} \div ( - 2 {a}^{5} {b}^{24} ) ^{2} = (4 {a}^{20} {b}^{40} ) \div ( - {a}^{6} {b}^{9} ) \div (4 {a}^{10} {b}^{48} ) =( - 4 {a}^{14} {b}^{31} ) \div (4 {a}^{10} {b}^{48} ) = - {a}^{4} {b}^{ - 17} = - \frac{ {a}^{4} }{ {b}^{17} }$