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Pertanyaan

Sederhanakanlah a. ( 2 3 × 3 2 2 4 × 3 6 ​ ) 3

Sederhanakanlah

a.  

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W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

.

 table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 4 cross times 3 to the power of 6 over denominator 2 cubed cross times 3 squared end fraction close parentheses cubed end cell equals cell 2 cubed cross times 3 to the power of 12 end cell end table.

Pembahasan

Ingat kembali sifat-sifat bilangan berpangkat berikut: Maka: Jadi, .

Ingat kembali sifat-sifat bilangan berpangkat berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell row cell open parentheses a cross times b close parentheses to the power of m end cell equals cell a to the power of m cross times b to the power of m end cell end table 

Maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 4 cross times 3 to the power of 6 over denominator 2 cubed cross times 3 squared end fraction close parentheses cubed end cell equals cell open parentheses 2 to the power of 4 minus 3 end exponent cross times 3 to the power of 6 minus 2 end exponent close parentheses cubed end cell row blank equals cell open parentheses 2 to the power of 1 cross times 3 to the power of 4 close parentheses cubed end cell row blank equals cell open parentheses 2 to the power of 1 close parentheses cubed cross times open parentheses 3 to the power of 4 close parentheses cubed end cell row blank equals cell 2 to the power of 1 cross times 3 end exponent cross times 3 to the power of 4 cross times 3 end exponent end cell row blank equals cell 2 cubed cross times 3 to the power of 12 end cell end table 

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 4 cross times 3 to the power of 6 over denominator 2 cubed cross times 3 squared end fraction close parentheses cubed end cell equals cell 2 cubed cross times 3 to the power of 12 end cell end table.

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