Jawab:
[tex]3^{\frac{5}{6}}-\frac{8}{25}[/tex]
Penjelasan dengan langkah-langkah:
[tex]\sqrt[6]{243}-(\frac{5}{3})^{-2} +\frac{1}{\sqrt{625}}=(243)^{\frac{1}{6}}-(\frac{5^{-2}}{3^{-2}})+\frac{1}{\sqrt{25^2}}[/tex]
[tex]=(3^5)^{\frac{1}{6}}+\frac{3^2}{5^2}+\frac{1}{25}[/tex]
[tex]=3^{\frac{5}{6}}-\frac{9}{25}+\frac{1}{25}[/tex]
[tex]=3^{\frac{5}{6}}-\frac{8}{25}[/tex]
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Jawab:
[tex]3^{\frac{5}{6}}-\frac{8}{25}[/tex]
Penjelasan dengan langkah-langkah:
[tex]\sqrt[6]{243}-(\frac{5}{3})^{-2} +\frac{1}{\sqrt{625}}=(243)^{\frac{1}{6}}-(\frac{5^{-2}}{3^{-2}})+\frac{1}{\sqrt{25^2}}[/tex]
[tex]=(3^5)^{\frac{1}{6}}+\frac{3^2}{5^2}+\frac{1}{25}[/tex]
[tex]=3^{\frac{5}{6}}-\frac{9}{25}+\frac{1}{25}[/tex]
[tex]=3^{\frac{5}{6}}-\frac{8}{25}[/tex]