Matematika Sekolah Menengah Pertama Akar & Pangkat~Hasil dari [tex] \sf(( \sqrt[3]{ {3}^{2} } ) {}^{ \sqrt{3} } ) { }^{ \sqrt{3} } [/tex]​

sadielegrosulv – May 11, 2023

Akar & Pangkat~


Hasil dari
[tex] \sf(( \sqrt[3]{ {3}^{2} } ) {}^{ \sqrt{3} } ) { }^{ \sqrt{3} } [/tex]
​

Penyelesaian:

[tex] \sf(( \sqrt[3]{ {3}^{2} } ) {}^{ \sqrt{3} } ) { }^{ \sqrt{3} } \\ = (( \sqrt[3]{9} {)}^{ \sqrt{3} \times \sqrt{3} } )\\ = ( \sqrt[3]{9} {)}^{3} \\ = 9[/tex]

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[tex] \boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}} [/tex]

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

[tex] \sf = (( \sqrt[3]{ {3}^{2} } ) {}^{ \sqrt{9} } ) [/tex]

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

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

[tex] \sf = {3}^{ \frac{6}{3} } [/tex]

[tex] \sf = {3}^{2 } [/tex]

= 9

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