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(4a2b3)3÷(−2ab3)4=…

Pertanyaan

open parentheses 4 a squared b cubed close parentheses cubed divided by open parentheses negative 2 a b cubed close parentheses to the power of 4 equals horizontal ellipsis 

H. Endah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

 open parentheses 4 a squared b cubed close parentheses cubed divided by open parentheses negative 2 a b cubed close parentheses to the power of 4 equals fraction numerator 4 a squared over denominator b cubed end fraction.

Pembahasan

Ingat sifat eksponen:

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

Perhitungannya didapatkan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 4 a squared b cubed close parentheses cubed divided by open parentheses negative 2 a b cubed close parentheses to the power of 4 end cell equals cell open parentheses 4 a squared b cubed close parentheses cubed over open parentheses negative 2 a b cubed close parentheses to the power of 4 end cell row blank equals cell fraction numerator 4 cubed open parentheses a squared close parentheses cubed open parentheses b cubed close parentheses cubed over denominator open parentheses negative 2 close parentheses to the power of 4 a to the power of 4 open parentheses b cubed close parentheses to the power of 4 end fraction end cell row blank equals cell fraction numerator 4 cubed open parentheses a squared close parentheses cubed open parentheses b cubed close parentheses cubed over denominator 16 space a to the power of 4 open parentheses b cubed close parentheses to the power of 4 end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses cubed open parentheses a squared close parentheses cubed open parentheses b cubed close parentheses cubed over denominator open parentheses 2 close parentheses to the power of 4 a to the power of 4 open parentheses b cubed close parentheses to the power of 4 end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 space a to the power of 6 space b to the power of 9 over denominator 2 to the power of 4 space a to the power of 4 space b to the power of 12 end fraction end cell row blank equals cell 2 to the power of 6 minus 4 end exponent space a to the power of 6 minus 4 end exponent space b to the power of 9 minus 12 end exponent end cell row blank equals cell 2 squared space a squared space b to the power of negative 3 end exponent end cell row blank equals cell fraction numerator 4 a squared over denominator b cubed end fraction end cell end table  

Jadi, open parentheses 4 a squared b cubed close parentheses cubed divided by open parentheses negative 2 a b cubed close parentheses to the power of 4 equals fraction numerator 4 a squared over denominator b cubed end fraction.

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