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Nilai dari  adalah ....

Pertanyaan

Nilai dari begin mathsize 14px style open parentheses 1 cubed plus 2 cubed plus 3 cubed close parentheses cross times 5 to the power of negative 2 end exponent plus open parentheses 2 cubed cross times 5 to the power of negative 1 end exponent close parentheses squared end style adalah ....

  1. space 

  2. 5undefined 

  3. 10undefined 

  4. 20undefined 

Pembahasan Soal:

Diperhatikan bahwa bilangan pokoknya berbeda maka setiap pangkat dikerjakan terlebih dahulu.

Sifat pangkat a to the power of negative n end exponent equals 1 over a to the power of n comma a to the power of n not equal to 0

begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 1 cubed plus 2 cubed plus 3 cubed right parenthesis cross times 5 to the power of negative 2 end exponent plus left parenthesis 2 cubed cross times 5 to the power of negative 1 end exponent right parenthesis squared end cell equals cell left parenthesis 1 plus 8 plus 27 right parenthesis cross times 1 over 5 squared plus open parentheses 8 cross times 1 over 5 to the power of 1 close parentheses squared end cell row blank equals cell left parenthesis 1 plus 8 plus 27 right parenthesis cross times 1 over 25 plus open parentheses 8 cross times 1 fifth close parentheses squared end cell end table end style      

Setelah itu dikerjakan seperti penjumlahan dan perkalian biasanya.

  begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 1 plus 8 plus 27 right parenthesis cross times 1 over 25 plus open parentheses 8 cross times 1 fifth close parentheses squared end cell equals cell left parenthesis 36 right parenthesis cross times 1 over 25 plus open parentheses 8 over 5 close parentheses squared end cell row blank equals cell left parenthesis 36 right parenthesis cross times 1 over 25 plus 64 over 25 end cell row blank equals cell 36 over 25 plus 64 over 25 end cell row blank equals cell 100 over 25 end cell row blank equals 4 end table end style   

Jadi jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

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