Răspuns:
[tex]25 {}^{4} = (5 {}^{2} ) {}^{4} \\ {125}^{3} = ( {5}^{3} ) {}^{3} [/tex]
[tex]( {5}^{2} ) {}^{4} \times {5}^{3} \div ({5}^{3} ) {}^{3} = \\ = {5}^{8} \times {5}^{3} \div {5}^{9} \\ = {5}^{8 + 3} \div {5}^{9} \\ = {5}^{11} \div {5}^{9} \\ = {5}^{11 - 9} \\ = {5}^{2} \\ = 25[/tex]
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Răspuns:
[tex]25 {}^{4} = (5 {}^{2} ) {}^{4} \\ {125}^{3} = ( {5}^{3} ) {}^{3} [/tex]
[tex]( {5}^{2} ) {}^{4} \times {5}^{3} \div ({5}^{3} ) {}^{3} = \\ = {5}^{8} \times {5}^{3} \div {5}^{9} \\ = {5}^{8 + 3} \div {5}^{9} \\ = {5}^{11} \div {5}^{9} \\ = {5}^{11 - 9} \\ = {5}^{2} \\ = 25[/tex]
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