Răspuns :
[tex]a)3 \sqrt{2} + \sqrt{98} - 10( \sqrt{2} - 1)[/tex]
[tex] = 3 \sqrt{2} + 7 \sqrt{2} - 10 \sqrt{2} + 10[/tex]
[tex] = 10 \sqrt{2} - 10 \sqrt{2} + 10[/tex]
[tex] = 0 + 10[/tex]
[tex] = 10[/tex]
[tex]b) {7}^{2017} \div {7}^{2016} + {3}^{100} \times {3}^{9} \div {3}^{108} [/tex]
[tex] = {7}^{2017 - 2016} + {3}^{100 + 9 - 108} [/tex]
[tex] = {7}^{1} + {3}^{109 - 108} [/tex]
[tex] = 7 + {3}^{1} [/tex]
[tex] = 7 + 3[/tex]
[tex] = 10[/tex]
[tex] = 3 \sqrt{2} + 7 \sqrt{2} - 10 \sqrt{2} + 10[/tex]
[tex] = 10 \sqrt{2} - 10 \sqrt{2} + 10[/tex]
[tex] = 0 + 10[/tex]
[tex] = 10[/tex]
[tex]b) {7}^{2017} \div {7}^{2016} + {3}^{100} \times {3}^{9} \div {3}^{108} [/tex]
[tex] = {7}^{2017 - 2016} + {3}^{100 + 9 - 108} [/tex]
[tex] = {7}^{1} + {3}^{109 - 108} [/tex]
[tex] = 7 + {3}^{1} [/tex]
[tex] = 7 + 3[/tex]
[tex] = 10[/tex]
