Question

даю 48 балов(Решите вариант A2)​

Answer 1

Ответ:

1.

а)

$\frac{1}{ {a}^{7} } = {a}^{ - 7}$

б)

$\frac{1}{6} = {6}^{ - 1}$

2.

а)

$3 \times {3}^{ - 4} = {3}^{1 - 4} = {3}^{ - 3} = \frac{1}{27}$

б)

${9}^{ - 3} \div {9}^{ - 4} = {9}^{ - 3 - ( - 4)} = {9}^{ - 3 + 4} = {9}^{1} = 9$

в)

${( {( \frac{1}{2}) }^{ - 2} )}^{ - 2} = {( \frac{1}{2}) }^{ - 2 \times ( - 2)} = {( \frac{1}{2}) }^{4} = \frac{1}{16}$

3.

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

б)

${( \frac{1}{3} {x}^{ - 2} y )}^{ - 3} = {( \frac{1}{3} )}^{ - 3} \times {x}^{6} \times {y}^{ - 3} = \\ = 27 {x}^{6} {y}^ { - 3}$

в)

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