[tex]a) {5}^{25} \times 3 + 9 \times {5}^{25} - 5 \times {5}^{25} - 7 \times {5}^{25} [/tex]
[tex] = {5}^{25} (3 + 9 - 5 - 7)[/tex]
[tex] = {5}^{25} (12 - 5 - 7)[/tex]
[tex] = {5}^{25} (7 - 7)[/tex]
[tex] = {5}^{25} \times 0[/tex]
[tex] = 0[/tex]
[tex]b) {7}^{40} \times 8+ {7}^{40} - 9 \times {7}^{40} [/tex]
[tex] = {7}^{40} (8 + 1 - 9)[/tex]
[tex] = {7}^{40} (9 - 9)[/tex]
[tex] = {7}^{40} \times 0[/tex]
[tex] = 0[/tex]
[tex]c) {2}^{3} + {3}^{3} \times {2}^{3} - {12}^{2} \div {4}^{2} [/tex]
[tex] = {2}^{3} + {(3 \times 2)}^{3} - {(12 \div 4)}^{2} [/tex]
[tex] = 8 + {6}^{3} - {3}^{2} [/tex]
[tex] = 8 + 216 - 9[/tex]
[tex] = 224 - 9[/tex]
[tex] = 215[/tex]