Pertanyaan

Tentukan hasil pemangkatan berikut! d. ( − 5 a − 2 ) − 3 e. ( 2 a 2 b 3 ) − 6 f. ( 3 a 3 b − 4 ) − 5

Tentukan hasil pemangkatan berikut!

d. $(- 5 a^{- 2})^{- 3}$
e. $(2 a^{2} b^{3})^{- 6}$
f. $(3 a^{3} b^{- 4})^{- 5}$

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D. Nuryani

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Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari open parentheses negative 5 a to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a to the power of 6 over 125 end cell end table

open parentheses negative 5 a to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a to the power of 6 over 125 end cell end table

, $open parentheses 2 a squared b cubed close parentheses to the power of negative 6 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 64 a to the power of 12 b to the power of 18 end fraction end cell end table$ , dan $open parentheses 3 a cubed b to the power of negative 4 end exponent close parentheses to the power of negative 5 end exponent equals fraction numerator b to the power of 20 over denominator 243 a to the power of 15 end fraction$ .

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: d) e) f) Dengan demikian, hasil dari , , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 5 a to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent end cell equals cell 1 over open parentheses negative 5 a to the power of negative 2 end exponent close parentheses cubed end cell row blank equals cell 1 over open parentheses negative begin display style 5 over a squared end style close parentheses cubed end cell row blank equals cell fraction numerator 1 over denominator open parentheses negative 5 over a squared close parentheses cross times open parentheses negative 5 over a squared close parentheses cross times open parentheses negative 5 over a squared close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator negative begin display style 125 over a to the power of 2 plus 2 plus 2 end exponent end style end fraction end cell row blank equals cell fraction numerator 1 over denominator negative begin display style 125 over a to the power of 6 end style end fraction end cell row blank equals cell negative a to the power of 6 over 125 end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 a squared b cubed close parentheses to the power of negative 6 end exponent end cell equals cell 1 over open parentheses 2 a squared b cubed close parentheses to the power of 6 end cell row blank equals cell fraction numerator 1 over denominator 2 to the power of 6 cross times open parentheses a squared close parentheses to the power of 6 cross times open parentheses b cubed close parentheses to the power of 6 end fraction end cell row blank equals cell fraction numerator 1 over denominator 64 cross times a to the power of 2 cross times 6 end exponent cross times b to the power of 3 cross times 6 end exponent end fraction end cell row blank equals cell fraction numerator 1 over denominator 64 cross times a to the power of 12 cross times b to the power of 18 end fraction end cell row blank equals cell fraction numerator 1 over denominator 64 a to the power of 12 b to the power of 18 end fraction end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 a cubed b to the power of negative 4 end exponent close parentheses to the power of negative 5 end exponent end cell equals cell 1 over open parentheses 3 a cubed b to the power of negative 4 end exponent close parentheses to the power of 5 end cell row blank equals cell 1 over open parentheses begin display style fraction numerator 3 a cubed over denominator b to the power of 4 end fraction end style close parentheses to the power of 5 end cell row blank equals cell fraction numerator 1 over denominator begin display style open parentheses 3 a cubed close parentheses to the power of 5 over open parentheses b to the power of 4 close parentheses to the power of 5 end style end fraction end cell row blank equals cell open parentheses b to the power of 4 close parentheses to the power of 5 over open parentheses 3 a cubed close parentheses to the power of 5 end cell row blank equals cell fraction numerator b to the power of 20 over denominator 3 to the power of 5 a to the power of 15 end fraction end cell row blank equals cell fraction numerator b to the power of 20 over denominator 243 a to the power of 15 end fraction end cell end table$

Dengan demikian, hasil dari open parentheses negative 5 a to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a to the power of 6 over 125 end cell end table , $open parentheses 2 a squared b cubed close parentheses to the power of negative 6 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 1 over denominator 64 a to the power of 12 b to the power of 18 end fraction end cell end table$ , dan $open parentheses 3 a cubed b to the power of negative 4 end exponent close parentheses to the power of negative 5 end exponent equals fraction numerator b to the power of 20 over denominator 243 a to the power of 15 end fraction$ .