Question

помогите решить примеры ​

Answer 1

Ответ:

1.

${6}^{2} - 3 \times {2}^{3} = 36 - 3\times 8 = 36 - 24 = 12$

2.

${( - 3 \frac{1}{2} )}^{2} + {( - 3)}^{3} = {( - \frac{7}{2}) }^{2} - 27 = \\ = \frac{49}{4} - 27 = \frac{49 - 54}{4} = - \frac{5}{4} = - 1.25$

3.

${( - 8)}^{2} \times {( - \frac{3}{8}) }^{2} = 64 \times \frac{9}{64} = 9$

4.

${z}^{8} \times {z}^{5} \times {( {z}^{7} )}^{2} = {z}^{8 + 5} \times {z}^{2 \times 7} = \\ = {z}^{13} \times {z}^{14} = {z}^{27}$

5.

$\frac{ {y}^{8} \times {y}^{5} }{ {y}^{4} } = {y}^{8 + 5 - 4} = {y}^{9}$

6.

${( - 5xyz)}^{3} = - 125 {x}^{3} {y}^{3} {z}^{3}$

7.

$- 4 {x}^{5} {y}^{2} \times 3x {y}^{4} = - 12 {x}^{5 + 1} {y}^{2 + 4} = \\ = - 12 {x}^{6} {y}^{6}$

8.

${( - \frac{1}{3} a {b}^{3} )}^{3} \times {(81 {a}^{5} b)}^{1} = - \frac{1}{27} {a}^{3} {b}^{9} \times8 1 {a}^{5} b = \\ = - 9 {a}^{8} {b}^{10}$

9.

$3 \frac{3}{7} {x}^{5} {y}^{6} \times ( - 2 \frac{1}{3} {x}^{5} y) ^{2} = \\ = \frac{24}{7} {x}^{5} {y}^{6} \times {( - \frac{7}{3}) }^{2} {x}^{10} {y}^{2} = \\ = \frac{24}{7} \times \frac{49}{9} {x}^{15} {y}^{8} = \frac{168}{9} {x}^{15} {y}^{8} = 18 \frac{2}{3} {x}^{15} {y}^{8}$

10.

$\frac{ {36}^{3} \times {6}^{4} }{ {2}^{10} \times {3}^{10} } = \frac{ {( {6}^{2} )}^{3} \times {6}^{4} }{ {2}^{10} \times {3}^{10} } = \\ = \frac{ {6}^{6} \times {6}^{4} }{ {(2 \times 3)}^{10} } = \frac{ {6}^{10} }{ {6}^{10} } = 1$