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Jika maka nilai 2 a − b + 2 c adalah ....

Jika fraction numerator open parentheses 4 square root of x to the power of 18 y to the power of 9 end root minus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses open parentheses 4 square root of x to the power of 18 y to the power of 9 end root plus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses over denominator 4 square root of square root of 256 x to the power of 28 y to the power of 30 end root end root end fraction equals 2 to the power of a x to the power of b y to the power of c comma maka nilai  adalah ....

  1. begin mathsize 14px style negative 11 end style 

  2. begin mathsize 14px style negative 10 end style 

  3. begin mathsize 14px style negative 7 end style 

  4. begin mathsize 14px style negative 6 end style 

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R. Tri

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

jawaban yang tepat adalah B.

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Pembahasan

Ingat bahwa sehingga diperoleh hasil perhitungan sebagai berikut. Karena maka didapat dan Dengan demikian,nilai adalah sebagai berikut. Jadi, jawaban yang tepat adalah B.

Ingat bahwa open parentheses a plus b close parentheses open parentheses a minus b close parentheses equals a squared minus b squared sehingga diperoleh hasil perhitungan sebagai berikut.

fraction numerator open parentheses 4 square root of x to the power of 18 y to the power of 9 end root minus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses open parentheses 4 square root of x to the power of 18 y to the power of 9 end root plus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses over denominator 4 square root of square root of 256 x to the power of 28 y to the power of 30 end root end root end fraction equals fraction numerator open parentheses 4 square root of x to the power of 18 y to the power of 9 end root minus 2 square root of 2 x to the power of 18 y to the power of 9 end root close parentheses open parentheses 4 square root of x to the power of 18 y to the power of 9 end root plus 2 square root of 2 x to the power of 18 y to the power of 9 end root close parentheses over denominator 4 square root of open parentheses 16 squared x to the power of 28 y to the power of 30 close parentheses to the power of 1 half end exponent end root end fraction equals fraction numerator open parentheses 4 square root of x to the power of 18 y to the power of 9 end root close parentheses squared minus open parentheses 2 square root of 2 x to the power of 18 y to the power of 9 end root close parentheses squared over denominator 4 square root of 16 x to the power of 14 y to the power of 15 end root end fraction equals fraction numerator 16 x to the power of 18 y to the power of 9 minus 8 x to the power of 18 y to the power of 9 over denominator 4 open parentheses 16 x to the power of 14 y to the power of 15 close parentheses to the power of 1 half end exponent end fraction equals fraction numerator left parenthesis 16 minus 8 right parenthesis x to the power of 18 y to the power of 9 over denominator 4 open parentheses 4 squared x to the power of 14 y to the power of 15 close parentheses to the power of 1 half end exponent end fraction equals fraction numerator 8 x to the power of 18 y to the power of 9 over denominator 4 open parentheses 4 x to the power of 7 y to the power of 15 over 2 end exponent close parentheses end fraction equals fraction numerator 2 x to the power of 18 y to the power of 9 over denominator 4 x to the power of 7 y to the power of 15 over 2 end exponent end fraction equals 1 half x to the power of 18 minus 7 end exponent y to the power of 9 minus 15 over 2 end exponent equals 2 to the power of negative 1 end exponent x to the power of 11 y to the power of 3 over 2 end exponent

Karena fraction numerator open parentheses 4 square root of x to the power of 18 y to the power of 9 end root minus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses open parentheses 4 square root of x to the power of 18 y to the power of 9 end root plus 2 square root of 2 open parentheses x to the power of 6 y cubed close parentheses cubed end root close parentheses over denominator 4 square root of square root of 256 x to the power of 28 y to the power of 30 end root end root end fraction equals 2 to the power of a x to the power of b y to the power of c comma maka didapat a equals negative 1 comma b equals 11 comma dan c equals 3 over 2.

Dengan demikian, nilai begin mathsize 14px style 2 a minus b plus 2 c end style adalah sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a minus b plus 2 c end cell equals cell 2 open parentheses negative 1 close parentheses minus 11 plus 2 open parentheses 3 over 2 close parentheses end cell row blank equals cell negative 2 minus 11 plus 3 end cell row blank equals cell negative 10 end cell end table

Jadi, jawaban yang tepat adalah B.

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