Pertanyaan

Bentuk sederhana dari ( a − 2 ⋅ b 4 ⋅ c 3 ) − 2 ( a − 4 ⋅ b 3 ⋅ c 3 ) 3 adalah ...

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

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari open parentheses a to the power of negative 4 end exponent times b cubed times c cubed close parentheses cubed over open parentheses a to the power of negative 2 end exponent times b to the power of 4 times c cubed close parentheses to the power of negative 2 end exponent

open parentheses a to the power of negative 4 end exponent times b cubed times c cubed close parentheses cubed over open parentheses a to the power of negative 2 end exponent times b to the power of 4 times c cubed close parentheses to the power of negative 2 end exponent

adalah

a to the power of negative 16 end exponent b to the power of 17 c to the power of 15

Pembahasan

Ingat bahwa: Menyederhanakan bentuk : Jadi, bentuk sederhana dari adalah .

Ingat bahwa:

Menyederhanakan bentuk open parentheses a to the power of negative 4 end exponent times b cubed times c cubed close parentheses cubed over open parentheses a to the power of negative 2 end exponent times b to the power of 4 times c cubed close parentheses to the power of negative 2 end exponent :

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of negative 4 end exponent times b cubed times c cubed close parentheses cubed over open parentheses a to the power of negative 2 end exponent times b to the power of 4 times c cubed close parentheses to the power of negative 2 end exponent end cell equals cell fraction numerator a to the power of negative 4 cross times 3 end exponent times b to the power of 3 cross times 3 end exponent times c to the power of 3 cross times 3 end exponent over denominator a to the power of negative 2 cross times negative 2 end exponent times b to the power of 4 cross times negative 2 end exponent times c to the power of 3 cross times negative 2 end exponent end fraction end cell row blank equals cell fraction numerator a to the power of negative 12 end exponent b to the power of 9 c to the power of 9 over denominator a to the power of 4 b to the power of negative 8 end exponent c to the power of negative 6 end exponent end fraction end cell row blank equals cell a to the power of negative 12 plus left parenthesis negative 4 right parenthesis end exponent b to the power of 9 minus left parenthesis negative 8 right parenthesis end exponent c to the power of 9 minus left parenthesis negative 6 right parenthesis end exponent end cell row blank equals cell a to the power of negative 16 end exponent b to the power of 17 c to the power of 15 end cell end table$

Jadi, bentuk sederhana dari open parentheses a to the power of negative 4 end exponent times b cubed times c cubed close parentheses cubed over open parentheses a to the power of negative 2 end exponent times b to the power of 4 times c cubed close parentheses to the power of negative 2 end exponent adalah a to the power of negative 16 end exponent b to the power of 17 c to the power of 15 .

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