Question

Упростите выражения:
(Запишите полностью решения)

Answer 1

а)

$1.5 {c}^{3} {d}^{2} \times ( - 2 {c}^{2} {d}^{3} {)}^{2} =1.5 {c}^{3} {d}^{2} \times {( - 2) }^{2} \times {c}^{2 \times 2} \times {d}^{3 \times 2} = 1.5 {c}^{3} {d}^{2} \times {4c}^{4} {d}^{6} =1.5 \times 4 \times {c}^{3 + 4} \times {d}^{2 + 6} = 6 {c}^{7} {d}^{8}$

б)

$\frac{ {( {x}^{5} )}^{2} \times {x}^{4} }{ {x}^{13} } = \frac{ {x}^{5 \times 2} \times {x}^{4} }{ {x}^{13} } = \frac{ {x}^{10} \times {x}^{4} }{ {x}^{13} } = \frac{ {x}^{10 + 4} }{ {x}^{13} } = \frac{ {x}^{14} }{ {x}^{13} } = {x}^{14 - 13} = x$