Pertanyaan

Hasil dari

Hasil dari $fraction numerator size 14px 5 to the power of size 14px 2 size 14px minus size 14px n end exponent size 14px minus begin mathsize 14px style left parenthesis 0 comma 2 right parenthesis end style to the power of size 14px n over denominator size 14px 5 to the power of size 14px 1 size 14px minus size 14px n end exponent size 14px plus begin mathsize 14px style left parenthesis 0 comma 2 right parenthesis end style to the power of size 14px n end fraction size 14px equals size 14px. size 14px. size 14px. size 14px.$

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Klaim

D. Setiadi

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Jadi, jawaban yang benar adalah A.

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 5 to the power of 2 minus n end exponent minus left parenthesis 0 comma 2 right parenthesis to the power of n over denominator 5 to the power of 1 minus n end exponent plus left parenthesis 0 comma 2 right parenthesis to the power of n end fraction end cell equals cell fraction numerator 5 to the power of 2 minus n end exponent minus open parentheses begin display style 1 fifth end style close parentheses to the power of n over denominator 5 to the power of 1 minus n end exponent plus open parentheses 1 fifth close parentheses to the power of n end fraction end cell row blank equals cell fraction numerator 5 to the power of 2 minus n end exponent minus 5 to the power of negative n end exponent over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell fraction numerator 5 open parentheses 5 to the power of 1 minus n end exponent minus 5 to the power of negative n minus 1 end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell fraction numerator 5 open parentheses 5 to the power of 1 minus n end exponent minus 5 to the power of negative n minus 1 end exponent plus 5 to the power of negative n end exponent minus 5 to the power of negative n end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell fraction numerator 5 open parentheses open parentheses 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent close parentheses minus 5 to the power of negative n minus 1 end exponent minus 5 to the power of negative n end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell fraction numerator 5 open parentheses 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent close parentheses plus 5 open parentheses negative 5 to the power of negative n minus 1 end exponent minus 5 to the power of negative n end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell fraction numerator 5 open parentheses 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction _ fraction numerator 5 open parentheses 5 to the power of negative n minus 1 end exponent plus 5 to the power of negative n end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell 5 minus fraction numerator open parentheses 5 to the power of negative n end exponent plus 5 to the power of negative n plus 1 end exponent close parentheses over denominator 5 to the power of 1 minus n end exponent plus 5 to the power of negative n end exponent end fraction end cell row blank equals cell 5 minus 1 end cell row blank equals 4 end table end style$

Jadi, jawaban yang benar adalah A.