Question

помогите плиссссссссс​

Answer 1

1.а)

${5}^{ - 1} - 3 \times {2}^{ - 3} = \frac{1}{5} - \frac{1}{ {2}^{3} } \times 3 = \frac{1}{5} - \frac{3}{8} = \frac{8 - 15}{40} = - \frac{7}{40}$

1.б)

${2}^{ - 10} \times {2}^{6} = {2}^{6 - 10} = {2}^{ - 4} = \frac{1}{16}$

1.в)

${(x - 7)}^{ - 2} = \frac{1}{ {(x - 7)}^{2} } = \frac{1}{ {x}^{2} - 14x + 49 }$

1.г)

$\frac{ {x}^{ - 5} \times {x}^{2} }{ {x}^{ - 6} } = \frac{ {x}^{ - 3} }{ {x}^{ - 6} } = {x}^{ - 3 - ( - 6)} = {x}^{3}$

2.а)

$1 \frac{5}{7} {x}^{6} {y}^{10} \times \frac{7}{10} {x}^{ - 4} {y}^{2} = 1.2 {x}^{2} {y}^{12}$

2.б)

$( { \frac{ {3x}^{2} }{4 {y}^{3} } })^{ - 1} \times 6x {y}^{4} = \frac{ {4y}^{3} }{ {3x}^{2} } \times 6x {y}^{4} = \frac{ {8y}^{7} }{x}$

3.

$\frac{ {3}^{ - 9} \times {9}^{ - 4} }{ {27}^{ - 8} } = \frac{ {3}^{ - 9} \times {3}^{ - 4 \times 2} }{ {3}^{ - 8 \times 3} } = \frac{ {3}^{ - 17} }{ {3}^{ - 24} } = {3}^{7}$

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