Pertanyaan

Nyatakan bentuk x − 2 y + x y − 3 x − 1 y 2 + x y − 2 dalam bentuk eksponen positif!

Nyatakan bentuk $\frac{x ^{- 1} y ^{2} + x y ^{- 2}}{x ^{- 2} y + x y ^{- 3}}$ dalam bentuk eksponen positif!

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Jawaban terverifikasi

Jawaban

bentuk eksponen positifnya adalah .

bentuk eksponen positifnya adalah $x y open parentheses fraction numerator y to the power of 4 plus x squared over denominator y to the power of 4 plus x cubed end fraction close parentheses$ .

Pembahasan

Nyatakan bentuk dalam bentuk eksponen positif, maka Jadi, bentuk eksponen positifnya adalah .

Nyatakan bentuk $begin mathsize 14px style fraction numerator x to the power of negative 1 end exponent y squared plus x y to the power of negative 2 end exponent over denominator x to the power of negative 2 end exponent y plus x y to the power of negative 3 end exponent end fraction end style$ dalam bentuk eksponen positif, maka

$begin mathsize 14px style fraction numerator x to the power of negative 1 end exponent y squared plus x y to the power of negative 2 end exponent over denominator x to the power of negative 2 end exponent y plus x y to the power of negative 3 end exponent end fraction equals fraction numerator begin display style y squared over x end style plus begin display style x over y squared end style over denominator begin display style y over x squared end style plus begin display style x over y cubed end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator begin display style fraction numerator y to the power of 4 plus x squared over denominator x y squared end fraction end style over denominator begin display style fraction numerator y to the power of 4 plus x cubed over denominator x squared y cubed end fraction end style end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator y to the power of 4 plus x squared over denominator x y squared end fraction times fraction numerator x squared y cubed over denominator y to the power of 4 plus x cubed end fraction space space space space space space space space space space space space space space space space space space space space space space space space equals x y open parentheses fraction numerator y to the power of 4 plus x squared over denominator y to the power of 4 plus x cubed end fraction close parentheses end style$

Jadi, bentuk eksponen positifnya adalah $x y open parentheses fraction numerator y to the power of 4 plus x squared over denominator y to the power of 4 plus x cubed end fraction close parentheses$ .