Pertanyaan

Bentuk sederhana dari ( 2 1 × 3 1 ) − 2 adalah ....

Bentuk sederhana dari $(\frac{1}{2} \times \frac{1}{3})^{- 2}$ adalah ....

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Jawaban terverifikasi

Jawaban

.

$open parentheses 1 half cross times fraction numerator 1 over denominator square root of 3 end fraction close parentheses to the power of negative 2 end exponent equals 12$ .

Pembahasan

Ingat bahwa maka Dengan demikian, .

Ingat bahwa

maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 1 half cross times fraction numerator 1 over denominator square root of 3 end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses fraction numerator 1 over denominator 2 square root of 3 end fraction close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses fraction numerator 2 square root of 3 over denominator 1 end fraction close parentheses squared end cell row blank equals cell fraction numerator open parentheses 2 square root of 3 close parentheses squared over denominator begin display style 1 end style end fraction end cell row blank equals cell fraction numerator 4 cross times 3 over denominator begin display style 1 end style end fraction end cell row blank equals cell 12 over 1 end cell row blank equals 12 end table$

Dengan demikian, $open parentheses 1 half cross times fraction numerator 1 over denominator square root of 3 end fraction close parentheses to the power of negative 2 end exponent equals 12$ .