Pertanyaan

Bentuk sederhana dari ( a 2 b − 5 c − 6 ) 3 ( a 3 b − 8 c − 8 ) 2 adalah ...

Bentuk sederhana dari $\frac{( a ^{3} b ^{- 8} c ^{- 8} ) ^{2}}{( a ^{2} b ^{- 5} c ^{- 6} ) ^{3}}$ adalah ...

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Pembahasan

jadi, bentuk sederhananya adalah

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a cubed b to the power of negative 8 end exponent c to the power of negative 8 end exponent close parentheses squared over open parentheses a squared b to the power of negative 5 end exponent c to the power of negative 6 end exponent close parentheses cubed end cell equals cell fraction numerator a to the power of 6 b to the power of negative 16 end exponent c to the power of negative 16 end exponent over denominator a to the power of 6 b to the power of negative 15 end exponent c to the power of negative 18 end exponent end fraction end cell row blank equals cell a to the power of 6 minus 6 end exponent b to the power of negative 16 minus left parenthesis negative 15 right parenthesis end exponent c to the power of negative 16 minus left parenthesis negative 18 right parenthesis end exponent end cell row blank equals cell a to the power of 0 b to the power of negative 16 plus 15 end exponent c to the power of negative 16 plus 18 end exponent end cell row blank equals cell b to the power of negative 1 end exponent c squared end cell row blank equals cell c squared over b end cell end table end style$

jadi, bentuk sederhananya adalah c squared over b