Pertanyaan

Gunakan sifat-sifat operasi bilangan berpangkat untuk menyederhanakan operasi aljabar berikut. d. ( 3 p 2 q 3 ) 4 ( 3 2 p 3 q 4 ) 3

Gunakan sifat-sifat operasi bilangan berpangkat untuk menyederhanakan operasi aljabar berikut.

d. $\frac{( 3 ^{2} p ^{3} q ^{4} ) ^{3}}{( 3 p ^{2} q ^{3} ) ^{4}}$

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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 3 squared p cubed q to the power of 4 close parentheses cubed over open parentheses 3 p squared q cubed close parentheses to the power of 4 end cell equals cell 9 p end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 squared p cubed q to the power of 4 close parentheses cubed over open parentheses 3 p squared q cubed close parentheses to the power of 4 end cell equals cell 9 p end cell end table

Pembahasan

Bilangan berpangkat bulat positif dapat didefinisikan sebagai berikut. Ingat sifat bilangan berpangkat berikut. Penyelesaian 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 to the power of m close parentheses to the power of n equals a to the power of m n end exponent

open parentheses a b close parentheses to the power of m equals a to the power of m b to the power of m

a to the power of 0 equals 1 comma space a not equal to 0

Penyelesaian soal di atas, yaitu

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 squared p cubed q to the power of 4 close parentheses cubed over open parentheses 3 p squared q cubed close parentheses to the power of 4 end cell equals cell fraction numerator open parentheses 3 squared close parentheses cubed open parentheses p cubed close parentheses cubed open parentheses q to the power of 4 close parentheses cubed over denominator 3 to the power of 4 open parentheses p squared close parentheses to the power of 4 open parentheses q cubed close parentheses to the power of 4 end fraction end cell row blank equals cell fraction numerator 3 to the power of 6 p to the power of 9 q to the power of 12 over denominator 3 to the power of 4 p to the power of 8 q to the power of 12 end fraction end cell row blank equals cell 3 to the power of 6 minus 4 end exponent p to the power of 9 minus 8 end exponent q to the power of 12 minus 12 end exponent end cell row blank equals cell 3 squared p q to the power of 0 end cell row blank equals cell 3 squared p times 1 end cell row blank equals cell 9 p end cell end table$

Dengan demikian, bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 squared p cubed q to the power of 4 close parentheses cubed over open parentheses 3 p squared q cubed close parentheses to the power of 4 end cell equals cell 9 p end cell end table