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Bentuk sederhana dari 8 x 2 y 16 x 4 y 2 × 9 x 2 y 3 27 x 3 y 3 adalah...

Bentuk sederhana dari $\frac{16 x ^{4} y ^{2}}{8 x ^{2} y} \times \frac{27 x ^{3} y ^{3}}{9 x ^{2} y ^{3}}$ adalah...

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Klaim

N. Mustikowati

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 16 x to the power of 4 y squared over denominator 8 x squared y end fraction cross times fraction numerator 27 x cubed y cubed over denominator 9 x squared y cubed end fraction equals 16 over 8. x to the power of 4 over x squared. y squared over y space cross times space 27 over 9. x cubed over x squared. y cubed over y cubed equals 2 space. space x to the power of 4 minus 2 end exponent space. space y to the power of 2 minus 1 end exponent space cross times space 3 space. space x to the power of 3 minus 2 end exponent space. space y to the power of 3 minus 3 end exponent equals 2 x squared y space cross times space 3 x equals 6 x to the power of 2 plus 1 end exponent y equals 6 x cubed y$