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Pertanyaan

begin mathsize 14px style open parentheses fifth root of 2 squared cross times 3 end root close parentheses to the power of 4 cross times fifth root of 2 to the power of 7 cross times 3 to the power of 6 end root equals.... end style  

  1. 12space 

  2. 24undefined 

  3. 36undefined  

  4. 72undefined 

Pembahasan Soal:

Diingat kembali sifat-sifat bentuk bilangan berpangkat.

Sifat Pangkat n-th root of a cross times b end root equals n-th root of a cross times n-th root of b

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fifth root of 2 squared cross times 3 end root close parentheses to the power of 4 cross times fifth root of 2 to the power of 7 cross times 3 to the power of 6 end root end cell equals cell left parenthesis fifth root of 2 squared end root cross times fifth root of 3 right parenthesis to the power of 4 cross times open parentheses fifth root of 2 to the power of 7 end root cross times fifth root of 3 to the power of 6 end root close parentheses end cell row blank equals cell open parentheses 2 to the power of 2 over 5 end exponent cross times 3 to the power of 1 fifth end exponent close parentheses to the power of 4 cross times 2 to the power of 7 over 5 end exponent cross times 3 to the power of 6 over 5 end exponent end cell row blank equals cell 2 to the power of 8 over 5 end exponent cross times 3 to the power of 4 over 5 end exponent cross times 2 to the power of 7 over 5 end exponent cross times 3 to the power of 6 over 5 end exponent end cell row blank equals cell open parentheses 2 to the power of 8 over 5 end exponent cross times 2 to the power of 7 over 5 end exponent close parentheses cross times open parentheses 3 to the power of 4 over 5 end exponent cross times 3 to the power of 6 over 5 end exponent close parentheses end cell row blank equals cell 2 to the power of 8 over 5 plus 7 over 5 end exponent cross times 3 to the power of 4 over 5 plus 6 over 5 end exponent end cell row blank equals cell 2 to the power of 15 over 5 end exponent cross times 3 to the power of 10 over 5 end exponent end cell row blank equals cell 2 cubed cross times 3 squared end cell row blank equals cell 8 cross times 9 end cell row blank equals 72 end table end style 

Jadi, jawaban yang tepat adalah D.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

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