Odpowiedź:
[tex]a) \: \: 5 \times {5}^{8} \times {5}^{4} = {5}^{1 + 8 + 4} = {5}^{13} [/tex]
[tex]b) \: \: ( {3}^{6} {)}^{4} = {3}^{6 \cdot \: 4} = {3}^{24} [/tex]
[tex]c) \: \: {24}^{6} \div {3}^{6} = (24 \div 3 {)}^{6} = {8}^{6} [/tex]
[tex]d) \: \: {4}^{8} \times {3}^{8} = (4 \times 3 {)}^{8} = {12}^{8} [/tex]
[tex]e) \: \: ( {2}^{3} {)}^{4} {)}^{5} = {2}^{3 \cdot4 \cdot5} = {2}^{60} [/tex]
[tex]f) \: {9}^{10} \div {9}^{4} = {9}^{10 - 4} = {9}^{6} [/tex]
[tex]g) \: \: (( - 3 {)}^{2} {)}^{4} = ( - 3 {)}^{2 \cdot4 } = ( - 3 {)}^{8} [/tex]
[tex]h) \: \: 10 \times {10}^{4} \times {10}^{7} = {10}^{1 + 4 + 7} = {10}^{12} [/tex]
[tex]i) \: \: \frac{ {9}^{5} }{ {3}^{5} } = ( \frac{9}{3} {)}^{5} = {3}^{5} [/tex]
[tex]j) \: \: \frac{ {5}^{3} \times {5}^{6} }{ {5}^{7} } = {5}^{3 + 6 - 7} = {5}^{2} [/tex]
[tex]k) \: \: ( {7}^{3} {)}^{2} \times {7}^{4} = {7}^{3 \times 2} \times {7}^{4} = {7}^{6} \times {7}^{4} = {7}^{10} [/tex]
[tex]l) \: \: {8}^{15} \div {8}^{8} = {8}^{15 - 8} = {8}^{7} [/tex]
