Pertanyaan

Bentuk sederhana dari 24 12 3 27 x − 72 y 24 adalah ....

Bentuk sederhana dari $24 12 3 27 x^{- 72} y^{24}$ adalah ....

$begin mathsize 14px style fraction numerator 24 y cubed over denominator x to the power of 6 end fraction end style$
$begin mathsize 14px style fraction numerator 12 y squared over denominator x to the power of 6 end fraction end style$

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A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Perhatikan bahwa Jadi, hasil dari adalah . Dengan demikian, jawaban yang tepat adalah D.

Perhatikan bahwa

$begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 24 square root of 12 cube root of 27 x to the power of negative 72 end exponent y to the power of 24 end root end root end root end cell equals cell square root of 24 square root of 12 open parentheses 3 cubed x to the power of negative 72 end exponent y to the power of 24 close parentheses to the power of 1 third end exponent end root end root blank end cell row blank equals cell square root of 24 square root of 12 open parentheses 3 to the power of 3 cross times 1 third end exponent x to the power of negative 72 cross times 1 third end exponent y to the power of 24 cross times 1 third end exponent close parentheses end root end root end cell row blank equals cell square root of 24 square root of 12 open parentheses 3 x to the power of negative 24 end exponent y to the power of 8 close parentheses end root end root end cell row blank equals cell square root of 24 square root of 36 x to the power of negative 24 end exponent y to the power of 8 end root end root end cell row blank equals cell square root of 24 square root of 6 squared x to the power of negative 24 end exponent y to the power of 8 end root end root end cell row blank equals cell square root of 24 open parentheses 6 squared x to the power of negative 24 end exponent y to the power of 8 close parentheses to the power of 1 half end exponent end root end cell row blank equals cell square root of 24 open parentheses 6 to the power of 2 cross times 1 half end exponent x to the power of negative 24 cross times 1 half end exponent y to the power of 8 cross times 1 half end exponent close parentheses end root end cell row blank equals cell square root of 24 open parentheses 6 x to the power of negative 12 end exponent y to the power of 4 close parentheses end root end cell row blank equals cell square root of 144 times x to the power of negative 12 end exponent times y to the power of 4 end root end cell row blank equals cell square root of 12 squared times x to the power of negative 12 end exponent times y to the power of 4 end root end cell row blank equals cell open parentheses 12 squared times x to the power of negative 12 end exponent times y to the power of 4 close parentheses to the power of 1 half end exponent end cell row blank equals cell 12 to the power of 2 cross times 1 half end exponent times x to the power of negative 12 cross times 1 half end exponent times y to the power of 4 cross times 1 half end exponent end cell row blank equals cell 12 times x to the power of negative 6 end exponent times y squared end cell row blank equals cell fraction numerator 12 y squared over denominator x to the power of 6 end fraction end cell end table end style$

Jadi, hasil dari adalah .

Dengan demikian, jawaban yang tepat adalah D.