Pertanyaan

Bentuk sederhana dari ⎝ ⎛ 2 2 . 3 2 1 .2 5 − 1 6 4 3 1 .8 1 4 1 . 5 − 2 ⎠ ⎞ 2 adalah …

Bentuk sederhana dari $⎝ ⎛ \frac{6 4 ^{\frac{1}{3}} .8 1 ^{\frac{1}{4}} . 5 ^{- 2}}{2 ^{2} . 3 ^{\frac{1}{2}} .2 5 ^{- 1}} ⎠ ⎞^{2}$ adalah …

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Jadi, jawaban yang tepat adalah B

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 64 to the power of begin display style 1 third end style end exponent.81 to the power of begin display style 1 fourth end style end exponent.5 to the power of negative 2 end exponent over denominator 2 squared.3 to the power of begin display style 1 half end style end exponent.25 to the power of negative 1 end exponent end fraction close parentheses squared end cell equals cell open parentheses fraction numerator open parentheses 2 to the power of 6 close parentheses to the power of begin display style 1 third end style end exponent. open parentheses 3 to the power of 4 close parentheses to the power of begin display style 1 fourth end style end exponent.5 to the power of negative 2 end exponent over denominator 2 squared.3 to the power of begin display style 1 half end style end exponent. open parentheses 5 squared close parentheses to the power of negative 1 end exponent end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator open parentheses 2 to the power of 6 cross times begin display style 1 third end style end exponent close parentheses. open parentheses 3 to the power of 4 cross times begin display style 1 fourth end style end exponent close parentheses.5 to the power of negative 2 end exponent over denominator 2 squared.3 to the power of begin display style 1 half end style end exponent. open parentheses 5 to the power of 2 cross times left parenthesis negative 1 right parenthesis end exponent close parentheses end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator 2 squared.3.5 to the power of negative 2 end exponent over denominator 2 squared.3 to the power of begin display style 1 half end style end exponent.5 to the power of negative 2 end exponent end fraction close parentheses squared end cell row blank equals cell open parentheses 2 to the power of 2 minus 2 end exponent.3 to the power of 1 minus 1 half end exponent.5 to the power of negative 2 minus left parenthesis negative 2 right parenthesis end exponent close parentheses squared end cell row blank equals cell open parentheses 1.3 to the power of 1 half end exponent.1 close parentheses squared end cell row blank equals cell open parentheses 3 to the power of 1 half end exponent close parentheses squared end cell row blank equals cell 3 to the power of 1 half cross times 2 end exponent end cell row blank equals cell 3 to the power of 1 end cell row blank equals 3 end table$

Jadi, jawaban yang tepat adalah B