Roboguru

Hasil dari  adalah ...

Pertanyaan

Hasil dari fraction numerator open parentheses 4 cubed cross times 5 close parentheses squared cross times 4 to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction adalah ...

  1. 0space

  2. 40space

  3. 50space

  4. 100space

Pembahasan Soal:

Perhatikan perhitungan berikut.

Ingat, sifat bilangan berpangkat

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 to the power of m close parentheses to the power of n equals a to the power of m times n end exponent

a to the power of m times a to the power of n equals a to the power of m plus n end exponent

open parentheses a to the power of m times b to the power of n close parentheses to the power of p equals a to the power of m times p end exponent times b to the power of n times p end exponent

a to the power of negative m end exponent equals 1 over a to the power of m

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 4 cubed cross times 5 close parentheses squared cross times 4 to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell equals cell fraction numerator 4 to the power of 3 cross times 2 end exponent cross times 5 squared cross times open parentheses 2 squared close parentheses to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 4 to the power of 6 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses to the power of 6 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 12 cross times 5 squared cross times 2 to the power of negative 16 end exponent over denominator 2 to the power of negative 2 end exponent end fraction end cell row blank equals cell 2 to the power of 12 minus 16 minus open parentheses negative 2 close parentheses end exponent cross times 5 squared end cell row blank equals cell 2 to the power of 12 minus 16 plus 2 end exponent cross times 5 squared end cell row blank equals cell 2 to the power of negative 2 end exponent cross times 5 squared end cell row blank equals cell 5 squared over 2 squared end cell row blank equals cell 25 over 4 end cell row blank equals cell 6 comma 25 end cell end table

Jadi, hasil dari fraction numerator open parentheses 4 cubed cross times 5 close parentheses squared cross times 4 to the power of negative 8 end exponent over denominator 2 to the power of negative 2 end exponent end fraction adalah 6 comma 25.

Dengan demikian, tidak ada jawaban yang tepat.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved