Pertanyaan

45 x − 2 y 3 25 x 3 y − 3 = ....

$\frac{25 x ^{3} y ^{- 3}}{45 x ^{- 2} y ^{3}} =$ ....

$begin mathsize 14px style fraction numerator 5 x over denominator 9 y to the power of 6 end fraction end style$
$begin mathsize 14px style fraction numerator 5 x to the power of 5 over denominator 9 y to the power of 5 end fraction end style$
$begin mathsize 14px style fraction numerator 5 x to the power of 5 over denominator 9 y to the power of 6 end fraction end style$

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Pembahasan

Ingat bahwa ,maka Maka jawaban yang tepat adalah D.

Ingat bahwa , maka

$begin mathsize 14px style equals fraction numerator 25 x cubed y to the power of negative 3 end exponent over denominator 45 x to the power of negative 2 end exponent y cubed end fraction equals fraction numerator 5 x to the power of 3 minus left parenthesis negative 2 right parenthesis end exponent y to the power of negative 3 minus 3 end exponent over denominator 9 end fraction equals fraction numerator 5 x to the power of 3 plus 2 end exponent y to the power of negative 6 end exponent over denominator 9 end fraction equals fraction numerator 5 x to the power of 5 over denominator 9 y to the power of 6 end fraction end style$

Maka jawaban yang tepat adalah D.