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( − 2 3 1 ​ ) 5 × ( − 2 3 1 ​ ) 2 ÷ ( − 2 3 1 ​ ) 4 = ....

  1. begin mathsize 14px style 12 19 over 27 end style

  2. negative size 14px 12 size 14px 19 over size 14px 27

  3. negative size 14px 19 size 14px 12 over size 14px 27

  4. size 14px 19 size 14px 12 over size 14px 27

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Pembahasan

Perhatikan bahwa Selanjutnya, dengan Maka

Perhatikan bahwa

begin mathsize 14px style negative 2 1 third equals fraction numerator 2 cross times 3 plus 1 over denominator 3 end fraction equals fraction numerator 6 plus 1 over denominator 3 end fraction equals 7 over 3 end style

Selanjutnya, dengan

begin mathsize 14px style open parentheses straight a over straight b close parentheses to the power of straight n equals straight a to the power of straight n over straight b to the power of straight n straight a to the power of straight m cross times straight a to the power of straight n equals straight a to the power of straight m plus straight n end exponent straight a to the power of straight m divided by straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent end style

Maka

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 2 1 third close parentheses to the power of 5 cross times open parentheses negative 2 1 third close parentheses squared divided by open parentheses negative 2 1 third close parentheses to the power of 4 end cell equals cell open parentheses negative 7 over 3 close parentheses to the power of 5 cross times open parentheses negative 7 over 3 close parentheses squared divided by open parentheses negative 7 over 3 close parentheses to the power of 4 end cell row blank equals cell open parentheses negative 7 over 3 close parentheses to the power of 5 plus 2 minus 4 end exponent end cell row blank equals cell open parentheses negative 7 over 3 close parentheses cubed end cell row blank equals cell negative 7 cubed over 3 cubed end cell row blank equals cell negative 343 over 27 end cell row blank equals cell negative 12 19 over 27 end cell end table end style

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