QUIZ
[tex] { ({ \sqrt{243} }^{ \frac{1}{3} }) }^{ \frac{3}{5} } = ...[/tex]
note : jawab dengan benar![]()
[tex] { ({ \sqrt{243} }^{ \frac{1}{3} }) }^{ \frac{3}{5} } = ...[/tex]
note : jawab dengan benar
Penyelesaian:
((√243)^⅓)^3/5
=243^1/2×1/3×3/5
=3^5×1/2×1/3×3/5
=3^5/2×1/3×3/5
=3^5/6×3/5
=3^15/30
=3^1/2
=√3
[tex]\boxed{ \colorbox{black}{ \sf{ \color{lightgreen}{ answered\:by\:Duone}}}}[/tex]
[tex](( \sqrt{243} ) {}^{ \frac{1}{3} } ) {}^{ \frac{3}{5} } \\ = (((243 {}^{ \frac{1}{2} } ) {}^{ \frac{1}{3} } ) {}^{ \frac{3}{5} } \\ = {243}^{ \frac{3}{30} } \\ = {243}^{ \frac{1}{10} } \\ = ( {3}^{5} ) \frac{1}{10} \\ = \sqrt{3} [/tex]
[answer.2.content]
