Question

Решите проверочную срочноооооооооооооо

Answer 1

Решение:

1)
$2( { - t}^{7} )4 = 2 {t}^{28} \\ ( { - 3 {u}^{2} {v}^{4} )}^{3} = - 27 {u}^{6} {v}^{12} \\ {( \frac{ {x}^{4} }{ {u}^{6} }) }^{4} = \frac{ {x}^{16} }{ {u}^{24} } \\ \frac{ {({u}^{4} {v}^{3})}^{2} }{ {u}^{3} {v}^{7} } = \frac{ {u}^{5} }{v}$

2)
${( \frac{ {3}^{12} }{ {3}^{k} }) }^{3} = {3}^{6} \\ {3}^{36 - 3k} = {3}^{6} \\ 36 - 3k = 6 \\ 12 - k = 2 \\ k = 10$

3)
${( {2}^{4} \times {3}^{2} ) }^{3} \times {( \frac{1}{2} )}^{12} = {2}^{12} \times {3}^{6} \times \frac{1}{ {2}^{12} } = \frac{ {2}^{12} \times {3}^{6} }{ {2}^{12} } = {3}^{6} = 729$