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Sederhanakan bentuk-bentuk di bawah ini dengan menggunakan sifat-sifat bilangan pangkat! f. ( − 6 u 3 v ) 4 ÷ ( 2 u v 2 ) 2

Sederhanakan bentuk-bentuk di bawah ini dengan menggunakan sifat-sifat bilangan pangkat!

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H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

bentuk sederhana dari

bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 6 u cubed v close parentheses to the power of 4 divided by open parentheses 2 u v squared close parentheses squared end cell equals cell 18 squared times u to the power of 10 end cell end table 

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Pembahasan

Bilangan berpangkat bulat positif dapat didefinisikan sebagai berikut. Ingat sifat bilangan berpangkat berikut. sehingga bentuk sederhana dari soal di atas, yaitu Dengan demikian, bentuk sederhana dari

Bilangan berpangkat bulat positif dapat didefinisikan sebagai berikut.

a to the power of n equals stack a cross times a cross times a cross times horizontal ellipsis cross times a with underbrace below table row blank cell space space space space space space space space end cell cell n space text faktor end text end cell end table

Ingat sifat bilangan berpangkat berikut.

a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent

open parentheses a b close parentheses to the power of m equals a to the power of m 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 0 equals 1 comma space a not equal to 0

sehingga bentuk sederhana dari soal di atas, yaitu

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 6 u cubed v close parentheses to the power of 4 divided by open parentheses 2 u v squared close parentheses squared end cell row blank equals cell open parentheses open parentheses negative 6 close parentheses to the power of 4 open parentheses u cubed close parentheses to the power of 4 open parentheses v close parentheses to the power of 4 close parentheses divided by open parentheses open parentheses 2 close parentheses squared open parentheses u close parentheses squared open parentheses v squared close parentheses squared close parentheses end cell row blank equals cell open parentheses open parentheses 2 cross times open parentheses negative 3 close parentheses close parentheses to the power of 4 times u to the power of 12 times v to the power of 4 close parentheses divided by open parentheses 2 squared times u squared times v to the power of 4 close parentheses end cell row blank equals cell open parentheses 2 to the power of 4 times open parentheses negative 3 close parentheses to the power of 4 times u to the power of 12 times v to the power of 4 close parentheses divided by open parentheses 2 squared times u squared times v to the power of 4 close parentheses end cell row blank equals cell 2 to the power of 4 minus 2 end exponent times open parentheses negative 3 close parentheses to the power of 4 times u to the power of 12 minus 2 end exponent times v to the power of 4 minus 4 end exponent end cell row blank equals cell 2 squared times 81 times u to the power of 10 times v to the power of 0 end cell row blank equals cell 2 squared times 3 to the power of 4 times u to the power of 10 times 1 end cell row blank equals cell open parentheses 2 cross times 3 squared close parentheses squared times u to the power of 10 end cell row blank equals cell 18 squared times u to the power of 10 end cell end table

Dengan demikian, bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 6 u cubed v close parentheses to the power of 4 divided by open parentheses 2 u v squared close parentheses squared end cell equals cell 18 squared times u to the power of 10 end cell end table 

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