Pertanyaan

Tentukan hasil dari 1 0 6 125 × 2 5 2 × 625

Tentukan hasil dari $\frac{125 \times 2 5 ^{2} \times 625}{1 0 ^{6}}$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

E. Dwi

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $fraction numerator 125 cross times 25 squared cross times 625 over denominator 10 to the power of 6 end fraction$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 48 53 over 64 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 48 53 over 64 end cell end table

Pembahasan

Perlu diingat sifat bilangan berpangkat yaitu: Dengan menggunakan sifat di atas, hasil dari dapat ditentukan seperti berikut: Jadi, hasil dari adalah .

Perlu diingat sifat bilangan berpangkat yaitu:

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent a to the power of m over a to the power of n equals a to the power of m minus n end exponent open parentheses a cross times b close parentheses to the power of m equals a to the power of m cross times b to the power of m

Dengan menggunakan sifat di atas, hasil dari $fraction numerator 125 cross times 25 squared cross times 625 over denominator 10 to the power of 6 end fraction$ dapat ditentukan seperti berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 125 cross times 25 squared cross times 625 over denominator 10 to the power of 6 end fraction end cell equals cell fraction numerator 5 cubed cross times open parentheses 5 squared close parentheses squared cross times 5 to the power of 4 over denominator open parentheses 2 cross times 5 close parentheses to the power of 6 end fraction end cell row blank equals cell fraction numerator 5 cubed cross times 5 to the power of 4 cross times 5 to the power of 4 over denominator 2 to the power of 6 cross times 5 to the power of 6 end fraction end cell row blank equals cell fraction numerator 5 to the power of 3 plus 4 plus 4 end exponent over denominator 2 to the power of 6 cross times 5 to the power of 6 end fraction end cell row blank equals cell fraction numerator 5 to the power of 11 cross times 5 to the power of negative 6 end exponent over denominator 2 to the power of 6 end fraction end cell row blank equals cell 5 to the power of 11 minus 6 end exponent over 2 to the power of 6 end cell row blank equals cell 5 to the power of 5 over 2 to the power of 6 end cell row blank equals cell fraction numerator 3.125 over denominator 64 end fraction end cell row blank equals cell 48 53 over 64 end cell end table$

Jadi, hasil dari $fraction numerator 125 cross times 25 squared cross times 625 over denominator 10 to the power of 6 end fraction$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 48 53 over 64 end cell end table .