Pertanyaan

1 ⋅ 4 2 ⋅ 4 4 ⋅ ... 4 10 2 ⋅ 2 2 ⋅ 2 3 ⋅ 2 4 ⋅ ... 2 10 = ...

$\frac{2 \cdot 2 ^{2} \cdot 2 ^{3} \cdot 2 ^{4} \cdot ... 2 ^{10}}{1 \cdot 4 ^{2} \cdot 4 ^{4} \cdot ... 4 ^{10}} = ...$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Dengan menggunakan konsep eksponensial, diperoleh: Oleh karena itu, jawaban yang benar adalah C.

Dengan menggunakan konsep eksponensial, diperoleh:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 times 2 squared times 2 cubed times 2 to the power of 4 times...2 to the power of 10 over denominator 1 times 4 squared times 4 to the power of 4 times...4 to the power of 10 end fraction end cell equals cell fraction numerator 2 to the power of 1 plus 2 plus 3 plus 4 plus 5 plus 6 plus 7 plus 8 plus 9 plus 10 end exponent over denominator 1 times 4 to the power of 2 plus 4 plus 6 plus 8 plus 10 end exponent end fraction end cell row blank equals cell 2 to the power of 55 over 4 to the power of 30 end cell row blank equals cell 2 to the power of 55 over open parentheses 2 squared close parentheses to the power of 30 end cell row blank equals cell 2 to the power of 55 over 2 to the power of 6 0 end exponent end cell row blank equals cell 2 to the power of 55 minus 60 end exponent end cell row blank equals cell 2 to the power of negative 5 end exponent end cell end table$

Oleh karena itu, jawaban yang benar adalah C.