Pertanyaan

Sederhanakan perpangkatan berikut ini. g. 4 7 2 7 × 6 7

Sederhanakan perpangkatan berikut ini.

g. $\frac{2 ^{7} \times 6 ^{7}}{4 ^{7}}$

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Jawaban terverifikasi

Jawaban

.

$begin mathsize 14px style fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction equals 3 to the power of 7 end style$ .

Pembahasan

Untuk menyederhanakan soal tersebut gunakan sifat-sifat bilangan berpangkat sebagai berikut: sehingga: Dengan demikian .

Untuk menyederhanakan soal tersebut gunakan sifat-sifat bilangan berpangkat sebagai berikut:

sehingga:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction end cell equals cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator open parentheses 2 squared close parentheses to the power of 7 end fraction end cell row blank equals cell fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 2 to the power of 14 end fraction end cell row blank equals cell 2 to the power of 7 minus 14 end exponent cross times 6 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times 6 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times open parentheses 2 cross times 3 close parentheses to the power of 7 end cell row blank equals cell 2 to the power of negative 7 end exponent cross times 2 to the power of 7 cross times 3 to the power of 7 end cell row blank equals cell 2 to the power of negative 7 plus 7 end exponent cross times 3 to the power of 7 end cell row blank equals cell 2 to the power of 0 cross times 3 to the power of 7 end cell row blank equals cell 1 cross times 3 to the power of 7 end cell row blank equals cell 3 to the power of 7 end cell end table end style$

Dengan demikian $begin mathsize 14px style fraction numerator 2 to the power of 7 cross times 6 to the power of 7 over denominator 4 to the power of 7 end fraction equals 3 to the power of 7 end style$ .