Pertanyaan

Nilai dari 2 2013 − 2 2009 2 2014 + 2 2013 adalah ... .

Nilai dari $\frac{2 ^{2014} + 2 ^{2013}}{2 ^{2013} - 2 ^{2009}}$ adalah ... .

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

diperoleh .

diperoleh $bottom enclose table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator bold 2 to the power of bold 2014 bold plus bold 2 to the power of bold 2013 over denominator bold 2 to the power of bold 2013 bold minus bold 2 to the power of bold 2009 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 48 over 15 end cell end table end enclose$ .

Pembahasan

Dapat ditentukan hasil dari bentuk yang diberikan sebagai berikut. Dengan demikian, diperoleh .

Dapat ditentukan hasil dari bentuk yang diberikan sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of 2014 plus 2 to the power of 2013 over denominator 2 to the power of 2013 minus 2 to the power of 2009 end fraction end cell equals cell fraction numerator 2 to the power of 2009 plus 5 end exponent plus 2 to the power of 2009 plus 4 end exponent over denominator 2 to the power of 2009 plus 4 end exponent minus 2 to the power of 2009 end fraction end cell row blank equals cell fraction numerator 2 to the power of 2009 times 2 to the power of 5 plus 2 to the power of 2009 times 2 to the power of 4 over denominator 2 to the power of 2009 times 2 to the power of 4 minus 2 to the power of 2009 end fraction end cell row blank equals cell fraction numerator 2 to the power of 2009 open parentheses 2 to the power of 5 plus 2 to the power of 4 close parentheses over denominator 2 to the power of 2009 open parentheses 2 to the power of 4 minus 1 close parentheses end fraction end cell row blank equals cell fraction numerator 32 plus 16 over denominator 16 minus 1 end fraction end cell row blank equals cell 48 over 15 end cell end table$

Dengan demikian, diperoleh $bottom enclose table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator bold 2 to the power of bold 2014 bold plus bold 2 to the power of bold 2013 over denominator bold 2 to the power of bold 2013 bold minus bold 2 to the power of bold 2009 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 48 over 15 end cell end table end enclose$ .