Pertanyaan

Tentukan hasil pemangkatan bilangan berpangkat berikut ! a. ( 4 6 5 4 ) 2 3 b. ( 5 6 4 9 ) − 3 1 c. ( − 2 8 3 4 ) − 4 3

Tentukan hasil pemangkatan bilangan berpangkat berikut !

a. $(\frac{5 ^{4}}{4 ^{6}})^{\frac{3}{2}}$
b. $(\frac{4 ^{9}}{5 ^{6}})^{- \frac{1}{3}}$
c. $(- \frac{3 ^{4}}{2 ^{8}})^{- \frac{3}{4}}$

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Jawaban terverifikasi

Jawaban

hasil pemangkatan dari , , dan .

hasil pemangkatan dari open parentheses 5 to the power of 4 over 4 to the power of 6 close parentheses to the power of 3 over 2 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 to the power of 6 over 4 to the power of 9 end cell end table

open parentheses 5 to the power of 4 over 4 to the power of 6 close parentheses to the power of 3 over 2 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 to the power of 6 over 4 to the power of 9 end cell end table

open parentheses 4 to the power of 9 over 5 to the power of 6 close parentheses to the power of negative 1 third end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 25 over 64 end cell end table

, dan $open parentheses negative 3 to the power of 4 over 2 to the power of 8 close parentheses to the power of negative 3 over 4 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 64 over denominator 27 times open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent end fraction end cell end table$ .

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: a) b) c) Dengan demikian, hasil pemangkatan dari , , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 4 to the power of 9 over 5 to the power of 6 close parentheses to the power of negative 1 third end exponent end cell equals cell open parentheses 4 to the power of 9 close parentheses to the power of negative begin display style 1 third end style end exponent over open parentheses 5 to the power of 6 close parentheses to the power of negative begin display style 1 third end style end exponent end cell row blank equals cell 4 to the power of 9 cross times open parentheses negative begin display style 1 third end style close parentheses end exponent over 5 to the power of 6 cross times open parentheses negative begin display style 1 third end style close parentheses end exponent end cell row blank equals cell 4 to the power of negative 3 end exponent over 5 to the power of negative 2 end exponent end cell row blank equals cell fraction numerator begin display style 1 over 4 cubed end style over denominator begin display style 1 over 5 squared end style end fraction end cell row blank equals cell 5 squared over 4 cubed end cell row blank equals cell 25 over 64 end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 3 to the power of 4 over 2 to the power of 8 close parentheses to the power of negative 3 over 4 end exponent end cell equals cell open parentheses open parentheses negative 1 close parentheses times 3 to the power of 4 over 2 to the power of 8 close parentheses to the power of negative 3 over 4 end exponent end cell row blank equals cell open parentheses negative 1 close parentheses to the power of negative 3 over 4 end exponent times open parentheses 3 to the power of 4 over 2 to the power of 8 close parentheses to the power of negative 3 over 4 end exponent end cell row blank equals cell 1 over open parentheses negative 1 close parentheses to the power of begin display style 3 over 4 end style end exponent times open parentheses 3 to the power of 4 close parentheses to the power of negative begin display style 3 over 4 end style end exponent over open parentheses 2 to the power of 8 close parentheses to the power of negative begin display style 3 over 4 end style end exponent end cell row blank equals cell fraction numerator 3 to the power of up diagonal strike 4 cross times open parentheses negative begin display style fraction numerator 3 over denominator up diagonal strike 4 end fraction end style close parentheses end exponent over denominator open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent times 2 to the power of 8 cross times open parentheses negative begin display style 3 over 4 end style close parentheses end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 3 end exponent over denominator open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent times 2 to the power of negative begin display style 24 over 4 end style end exponent end fraction end cell row blank equals cell fraction numerator begin display style 1 over 3 cubed end style over denominator open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent times 2 to the power of negative 6 end exponent end fraction end cell row blank equals cell fraction numerator begin display style 1 over 27 end style over denominator open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent over 2 to the power of 6 end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 over denominator 27 times open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent end fraction end cell row blank equals cell fraction numerator 64 over denominator 27 times open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent end fraction end cell end table$

Dengan demikian, hasil pemangkatan dari open parentheses 5 to the power of 4 over 4 to the power of 6 close parentheses to the power of 3 over 2 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 5 to the power of 6 over 4 to the power of 9 end cell end table , open parentheses 4 to the power of 9 over 5 to the power of 6 close parentheses to the power of negative 1 third end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 25 over 64 end cell end table , dan $open parentheses negative 3 to the power of 4 over 2 to the power of 8 close parentheses to the power of negative 3 over 4 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 64 over denominator 27 times open parentheses negative 1 close parentheses to the power of 3 over 4 end exponent end fraction end cell end table$ .