[tex]2)A = {( {3}^{2}) }^{4} \div {3}^{6} \times {3}^{2} [/tex]
[tex]A = {3}^{2 \times 4} \div {3}^{6} \times {3}^{2} [/tex]
[tex]A = {3}^{8} \div {3}^{6} \times {3}^{2} [/tex]
[tex]A = {3}^{8 - 6 + 2} [/tex]
[tex]A = {3}^{2 + 2} [/tex]
[tex]A = {3}^{4} [/tex]
[tex]A = 81[/tex]
[tex]B = 8 \times {10}^{2} + 0 \times 10 + 1 \times {10}^{0} [/tex]
[tex]B = 8 \times 100 + 0 + 1 \times 1[/tex]
[tex]B = 800 + 1[/tex]
[tex]B = 801[/tex]
[tex]81 < 801 = > A < B[/tex]
[tex]2)1 + 2 + 3 + ... + 49 = \frac{49(49 + 1)}{2}
= \frac{49 \times 50}{2} [/tex]
[tex]= 49 \times 25 = {7}^{2} \times {5}^{2} = {(7 \times 5)}^{2} = {35}^{2} = > p.p[/tex]
