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Bentuk sederhana dari  adalah...

Pertanyaan

Bentuk sederhana dari open parentheses 8 to the power of begin display style 2 over 3 end style end exponent plus 36 to the power of begin display style 1 half end style end exponent close parentheses squared over 125 to the power of begin display style 2 over 3 end style end exponent adalah...

Pembahasan Soal:

Kita sederhanakan terlebih dahulu bilangan pokok pada bilangan berpangkatnya, lalu gunakan sifat bilangan berpangkat, yaitu:

open parentheses a to the power of b close parentheses to the power of c equals a to the power of b cross times c end exponent

Maka :

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 8 to the power of begin display style 2 over 3 end style end exponent plus 36 to the power of begin display style 1 half end style end exponent close parentheses squared over 125 to the power of begin display style 2 over 3 end style end exponent end cell equals cell open parentheses open parentheses 2 cubed close parentheses to the power of 2 over 3 end exponent plus open parentheses 6 squared close parentheses to the power of 1 half end exponent close parentheses squared over open parentheses 5 cubed close parentheses to the power of begin display style 2 over 3 end style end exponent end cell row blank equals cell open parentheses 2 squared plus 6 to the power of 1 close parentheses squared over 5 squared end cell row blank equals cell open parentheses 4 plus 6 close parentheses squared over 5 squared end cell row blank equals cell 10 squared over 25 end cell row blank equals cell 100 over 25 end cell row blank equals 4 end table

Jadi, bentuk sederhana dari open parentheses 8 to the power of begin display style 2 over 3 end style end exponent plus 36 to the power of begin display style 1 half end style end exponent close parentheses squared over 125 to the power of begin display style 2 over 3 end style end exponent adalah 4.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

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