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:

Mencari bentuk sederhana:

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 equals open parentheses a cubed b to the power of negative 4 end exponent c to the power of negative 7 end exponent close parentheses to the power of 5 over open parentheses a to the power of 4 b to the power of negative 4 end exponent c to the power of negative 8 end exponent close parentheses to the power of 5 equals fraction numerator open parentheses a cubed close parentheses to the power of 5 open parentheses b to the power of negative 4 end exponent close parentheses to the power of 5 open parentheses c to the power of negative 7 end exponent close parentheses to the power of 5 over denominator open parentheses a to the power of 4 close parentheses to the power of 5 open parentheses b to the power of negative 4 end exponent close parentheses to the power of 5 open parentheses c to the power of negative 8 end exponent close parentheses to the power of 5 end fraction equals fraction numerator a to the power of 15 1 over b to the power of 20 times 1 over c to the power of 35 over denominator a to the power of 20 1 over b to the power of 20 times 1 over c to the power of 40 end fraction equals fraction numerator fraction numerator a to the power of 15 over denominator b to the power of 20 c to the power of 35 end fraction over denominator fraction numerator a to the power of 20 over denominator b to the power of 20 c to the power of 40 end fraction end fraction equals fraction numerator a to the power of 15 over denominator b to the power of 20 c to the power of 35 end fraction times fraction numerator b to the power of 20 c to the power of 40 over denominator a to the power of 20 end fraction equals fraction numerator a to the power of 15 b to the power of 20 c to the power of 40 over denominator b to the power of 20 c to the power of 35 a to the power of 20 end fraction equals fraction numerator a to the power of 15 c to the power of 40 over denominator c to the power of 35 a to the power of 20 end fraction equals fraction numerator c to the power of 40 over denominator c to the power of 35 a to the power of 20 minus 15 end exponent end fraction equals fraction numerator c to the power of 40 over denominator a to the power of 5 c to the power of 35 end fraction equals c to the power of 40 minus 35 end exponent over a to the power of 5 equals c to the power of 5 over a to the power of 5 

Jadi, 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 c to the power of 5 over a to the power of 5.

Dengan demikian, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Mei 2021

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