Roboguru

Nilai dari  adalah

Pertanyaan

Nilai dari 27 to the power of 2 over 3 end exponent plus 81 to the power of 3 over 4 end exponent minus 32 to the power of 4 over 5 end exponent adalah begin mathsize 14px style horizontal ellipsis end style

Pembahasan Soal:

Ingatlah sifat bilangan berpangkat:

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

Maka bentuk 27 to the power of 2 over 3 end exponent dapat diubah menjadi open parentheses 3 cubed close parentheses to the power of 2 over 3 end exponent equals 3 to the power of 3 times 2 over 3 end exponent, bentuk 81 to the power of 3 over 4 end exponent dapat diubah menjadi open parentheses 3 to the power of 4 close parentheses to the power of 3 over 4 end exponent equals 3 to the power of 4 times 3 over 4 end exponent, dan bentuk 32 to the power of 4 over 5 end exponent dapat diubah menjadi open parentheses 2 to the power of 5 close parentheses to the power of 4 over 5 end exponent equals 2 to the power of 5 times 4 over 5 end exponent. Sehingga

table attributes columnalign right center left columnspacing 0px end attributes row cell 27 to the power of 2 over 3 end exponent plus 81 to the power of 3 over 4 end exponent minus 32 to the power of 4 over 5 end exponent end cell equals cell 3 to the power of down diagonal strike 3 to the power of 1 times 2 over down diagonal strike 3 to the power of 1 end exponent plus 3 to the power of down diagonal strike 4 to the power of 1 times 3 over down diagonal strike 4 to the power of 1 end exponent minus 2 to the power of down diagonal strike 5 to the power of 1 times 4 over down diagonal strike 5 to the power of 1 end exponent end cell row blank equals cell 3 squared plus 3 cubed minus 2 to the power of 4 end cell row blank equals cell 9 plus 27 minus 16 end cell row blank equals 20 end table

Dengan demikian, nilai dari 27 to the power of 2 over 3 end exponent plus 81 to the power of 3 over 4 end exponent minus 32 to the power of 4 over 5 end exponent adalah 20.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 27 April 2021

Ruangguru

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