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Sagot :

Answer:

1) [tex]x^{2/3}[/tex]

[tex]3[/tex] → index

[tex]\sqrt[3]{x^{2} }[/tex]

[tex]Index: 3[/tex]

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2) [tex]7^{5/4}[/tex]

[tex]=\sqrt[4]{7^{5} }[/tex]

[tex]=(\sqrt[4]{7})^{5}[/tex]

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3) [tex]\sqrt[7]{2^{3} }[/tex]

[tex]=(2^{3} )^{1/7}[/tex]  [tex][\sqrt[x]{n} =n^{1/n} ][/tex]

[tex]=2^{3/7}[/tex]

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3) [tex]\sqrt[12]{8^{4} }[/tex]

[tex]y=(8^{4} )^{1/12}[/tex]

[tex]y=(8)^{1/3}[/tex]

[tex]y=(2)^{3\times 1/3}[/tex]

[tex]y=2[/tex]

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4) [tex]128^{3/7}[/tex]

[tex]=\sqrt[7]{2\times 2\times2\times 2\times 2\times2\times 2}[/tex]

[tex]=(2)^{3}[/tex]

[tex]=8[/tex]

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