Roboguru

Bentuk sederhana dari  adalah ....

Pertanyaan

Bentuk sederhana dari open parentheses fraction numerator a cubed b to the power of negative 4 end exponent c to the power of negative 7 end exponent over denominator a to the power of 4 b to the power of negative 4 end exponent c to the power of negative 8 end exponent end fraction close parentheses to the power of 5 adalah ....

  1. c to the power of 5 over a to the power of 5 

  2. fraction numerator a squared over denominator b c cubed end fraction 

  3. fraction numerator a squared over denominator b c to the power of 5 end fraction 

  4. fraction numerator a to the power of 5 over denominator b c cubed end fraction 

  5. fraction numerator b squared over denominator c a to the power of 5 end fraction 

Pembahasan Soal:

Dengan menerapkan beberapa sifat bilangan berpangkat maka dapat ditentukan bentuk sederhana dari bentuk yang diberikan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a cubed b to the power of negative 4 end exponent c to the power of negative 7 end exponent over denominator a to the power of 4 b to the power of negative 4 end exponent c to the power of negative 8 end exponent end fraction close parentheses to the power of 5 end cell equals cell open parentheses fraction numerator b to the power of negative 4 minus open parentheses negative 4 close parentheses end exponent c to the power of negative 7 minus open parentheses negative 8 close parentheses end exponent over denominator a to the power of 4 minus 3 end exponent end fraction close parentheses to the power of 5 end cell row blank equals cell open parentheses fraction numerator b to the power of negative 4 plus 4 end exponent c to the power of negative 7 plus 8 end exponent over denominator a to the power of 4 minus 3 end exponent end fraction close parentheses to the power of 5 end cell row blank equals cell open parentheses fraction numerator b to the power of 0 c to the power of 1 over denominator a to the power of 1 end fraction close parentheses to the power of 5 end cell row blank equals cell open parentheses c over a close parentheses to the power of 5 end cell row blank equals cell c to the power of 5 over a to the power of 5 end cell end table 

Jadi, jawaban yang benar adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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