Пошаговое объяснение:

[tex]1. \: 1) \: 5 \times 5 \times 5 \times 5 \times 5 = 5^{5} \\ 2) \: {3}^{ - 4} \times {3}^{ - 5} = {3}^{ - 9} \\ 3) \: {x}^{8} \div {x}^{5} = {x}^{3} \\ 4) \: {( {y}^{ - 3} )}^{6} = {y}^{ - 18} \\ 5) \: {x}^{4} \times {y}^{4} = {(xy)}^{4} \\ 6) \: {10}^{ - 2} \times {10}^{5} = {10}^{3} [/tex]

[tex]2. \: 1) \: {2}^{0} = 1 \\ 2) \: {3}^{4} = 81 \\ 3) \: {4}^{ - 1} = \frac{1}{4} \\ 4) \: (\frac{1}{3} ) ^{3} = \frac{1}{27} \\ 5) \: {5}^{0} \times {2}^{ - 3} + {3}^{2} = 1 \times \frac{1}{ {2}^{3} } + 9 = \\ = 1 \times \frac{1}{8} + 9 = \frac{1}{8} + 9 = 9 \frac{1}{8} [/tex]

[tex]3. \: 1) \: {2}^{2} \: \: > \: \: 2 ^{ - 2} \\ 4 \: \: > \: \: \frac{1}{4} \\ 2) \: {( - 2)}^{3} \: \: < \: \: 0 \\ - 8 \: \: < \: \: 0 \\ 3) \: {( - 1)}^{6} \: \: = \: \: {( - 1)}^{8} \\ 1 \: \: = \: \: 1 \\ 4) \: {( - 1)}^{10} \: \: > \: \: {( - 2)}^{3} \\ 1 \: \: > \: \: - 8[/tex]

[tex]4. \: 1) \: 10 = {10}^{1} \\ 2) \: 100 = {10}^{2} \\ 3) \: 1000 = {10}^{3} \\ 4) \: 0.00001 = {10}^{ - 5} [/tex]

[tex]5. \: 1) \: 20 = {10}^{1} \times 2 \\ 2) \: 400 = {10}^{2} \times 4 \\ 3) \: 0.003 = {10}^{ - 3} \times 3[/tex]