Pertanyaan

Bentuk sederhana dari m 1 3 2 : m − 4 1 × ( m 1 ) 12 5 adalah ....

Bentuk sederhana dari $m^{1 \frac{2}{3}} : m^{- \frac{1}{4}} \times (\frac{1}{m})^{\frac{5}{12}}$ adalah ....

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Jawaban terverifikasi

Jawaban

jawaban benar adalah D.

Pembahasan

Jadi, jawaban benar adalah D.

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell m to the power of 1 2 over 3 end exponent colon m to the power of negative 1 fourth end exponent cross times left parenthesis 1 over m right parenthesis to the power of 5 over 12 end exponent end cell equals cell m to the power of 5 over 3 end exponent colon m to the power of negative 1 fourth end exponent cross times left parenthesis m to the power of negative 1 end exponent right parenthesis to the power of 5 over 12 end exponent space equals m to the power of 5 over 3 minus left parenthesis negative 1 fourth right parenthesis plus left parenthesis negative 5 over 12 right parenthesis end exponent end cell row blank equals cell m to the power of fraction numerator 20 plus 3 minus 5 over denominator 12 end fraction end exponent end cell row blank equals cell m to the power of 18 over 12 end exponent end cell row blank equals cell m to the power of 1 1 half end exponent end cell row blank equals cell m square root of m end cell end table end style$

Jadi, jawaban benar adalah D.