Roboguru

Tentukan nilai  dan  pada soal-soal berikut! c.

Pertanyaan

Tentukan nilai a dan b pada soal-soal berikut!

c. open parentheses negative a over b close parentheses to the power of 4 equals 81 over 625 

Pembahasan Soal:

Gunakan konsep pemangkatan pecahan.

open parentheses a over b close parentheses to the power of n equals stack stack a over b cross times a over b cross times a over b cross times... cross times a over b with underbrace below with n space faktor below

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses negative a over b close parentheses to the power of 4 end cell equals cell 81 over 625 end cell row cell open parentheses negative a over b close parentheses cross times open parentheses negative a over b close parentheses cross times open parentheses negative a over b close parentheses cross times open parentheses negative a over b close parentheses end cell equals cell 81 over 625 end cell row cell a to the power of 4 over b to the power of 4 end cell equals cell 81 over 625 end cell row cell table attributes columnalign right center left columnspacing 2px end attributes row cell a to the power of 4 end cell equals 81 row a equals cell fourth root of 81 end cell row a equals 3 end table end cell blank cell table attributes columnalign right center left columnspacing 2px end attributes row cell b to the power of 4 end cell equals 625 row b equals cell fourth root of 625 end cell row b equals 5 end table end cell end table

Jadi, diperoleh nilai a equals 3 dan b equals 5.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 09 Juni 2021

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