Pertanyaan

Bentuk sederhana dari ( a − 2 × b − 1 × c 4 a 3 × b 5 × c − 3 ) 2 adalah ...

Bentuk sederhana dari $(\frac{a ^{3} \times b ^{5} \times c ^{- 3}}{a ^{- 2} \times b ^{- 1} \times c ^{4}})^{2}$ adalah ...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator straight a cubed cross times straight b to the power of 5 cross times straight c to the power of negative 3 end exponent over denominator straight a to the power of negative 2 end exponent cross times straight b to the power of negative 1 end exponent cross times straight c to the power of 4 end fraction close parentheses squared$ adalah $fraction numerator straight a to the power of 10 cross times straight b to the power of 12 over denominator straight c to the power of 14 end fraction$ .

Pembahasan

( a − 2 × b − 1 × c 4 a 3 × b 5 × c − 3 ) 2 = = = = ( c 4 c 3 a 3 a 2 × b 5 b ) ( c 4 + 3 a 3 + 2 × b 5 + 1 ) 2 ( c 7 a 5 × b 6 ) 2 c 14 a 10 × b 12 Jadi, bentuk sederhana dari adalah .

$(\frac{a ^{3} \times b ^{5} \times c ^{- 3}}{a ^{- 2} \times b ^{- 1} \times c ^{4}})^{2} = = = = (\frac{a ^{3} a ^{2} \times b ^{5} b}{c ^{4} c ^{3}}) (\frac{a ^{3 + 2} \times b ^{5 + 1}}{c ^{4 + 3}})^{2} (\frac{a ^{5} \times b ^{6}}{c ^{7}})^{2} \frac{a ^{10} \times b ^{12}}{c ^{14}}$

Jadi, bentuk sederhana dari $open parentheses fraction numerator straight a cubed cross times straight b to the power of 5 cross times straight c to the power of negative 3 end exponent over denominator straight a to the power of negative 2 end exponent cross times straight b to the power of negative 1 end exponent cross times straight c to the power of 4 end fraction close parentheses squared$ adalah $fraction numerator straight a to the power of 10 cross times straight b to the power of 12 over denominator straight c to the power of 14 end fraction$ .