Pertanyaan

Sederhanakan perpangkatan berikut ini. h. 2 7 6 7 × 3 3

Sederhanakan perpangkatan berikut ini.

h. $\frac{6 ^{7} \times 3 ^{3}}{2 ^{7}}$

A. Acfreelance

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style fraction numerator 6 to the power of 7 cross times 3 cubed over denominator 2 to the power of 7 end fraction equals 3 to the power of 10 end style$

Pembahasan

Gunakan sifat perkalian, pembagian pada bilangan berpangkat dan bilangan dengan pangkat nol seperti berikut ini: sehingga: Dengan demikian

Gunakan sifat perkalian, pembagian pada bilangan berpangkat dan bilangan dengan pangkat nol seperti berikut ini:

sehingga:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 6 to the power of 7 cross times 3 cubed over denominator 2 to the power of 7 end fraction end cell equals cell fraction numerator open parentheses 2 cross times 3 close parentheses to the power of 7 cross times 3 cubed over denominator 2 to the power of 7 end fraction end cell row blank equals cell fraction numerator 2 to the power of 7 cross times 3 to the power of 7 cross times 3 cubed over denominator 2 to the power of 7 end fraction end cell row blank equals cell 2 to the power of 7 minus 7 end exponent cross times 3 to the power of 7 plus 3 end exponent end cell row blank equals cell 2 to the power of 0 cross times 3 to the power of 10 end cell row blank equals cell 1 cross times 3 to the power of 10 end cell row blank equals cell 3 to the power of 10 end cell end table end style$

Dengan demikian $begin mathsize 14px style fraction numerator 6 to the power of 7 cross times 3 cubed over denominator 2 to the power of 7 end fraction equals 3 to the power of 10 end style$