Question

помогите пожалуйста с алгеброй: 1,4,5,6​

Answer 1

Объяснение:

1)

$\frac{4x - 7}{x - 2} - \frac{2 + x}{x - 2} = 0 \\ \\ x≠2 \\ \\ 4x - 7 - 2 - x = 0 \\ \\ 3x = 9 \\ \\ x = 3$

4)

$0.5 {x}^{17} {y}^{ - 3} \times 1.4 {x}^{ - 13} {y}^{8} = \\ = 0.7 {x}^{4} {y}^{5}$

5а)

${2}^{ - 3} + ({ \frac{16}{3} })^{ - 1} = \\ = \frac{1}{ {2}^{3} } + \frac{3}{16} = \\ = \frac{2}{16} + \frac{3}{16} = \\ = \frac{5}{16}$

5б)

$\frac{ {6}^{ - 8} \times {6}^{ - 5} }{ {6}^{ - 14} } = \\ \\ \frac{ {6}^{14} }{ {6}^{13} } = 6$

6а)

${(243 \times {3}^{ - 5}) }^{3} \times { ({9}^{ - 3} )}^{ - 1} = \\ \\ = {( {3}^{5} \times \frac{1 }{ {3}^{5} }) }^{3} \times {9}^{3} = \\ \\ = {9}^{3} = 729$

6б)

$\frac{ ({ - 16})^{ - 5} \times {8}^{ - 3} }{ {4}^{ - 15} } = \\ \\ = \frac{ {( {2}^{2}) }^{15} }{ { - ({ 2}^{4}) }^{5} \times {( {2}^{3}) }^{3} } = \\ \\ = \frac{ {2}^{30} }{ - {2}^{20} \times {2}^{9} } = \\ \\ = - \frac{ {2}^{30} }{ {2}^{29} } = \\ \\ = - 2$