(x−2y2x−4y3​)−5= ...

Pertanyaan

open parentheses fraction numerator x to the power of negative 4 end exponent y cubed over denominator x to the power of negative 2 end exponent y squared end fraction close parentheses to the power of negative 5 end exponent equals space...

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of negative 4 end exponent y cubed over denominator x to the power of negative 2 end exponent y squared end fraction close parentheses to the power of negative 5 end exponent end cell equals cell x to the power of 10 over y to the power of 5 end cell end table 

Pembahasan

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 negative m end exponent equals 1 over a to the power of m comma space a not equal to 0

sehingga penyelesaian soal di atas, yaitu

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of negative 4 end exponent y cubed over denominator x to the power of negative 2 end exponent y squared end fraction close parentheses to the power of negative 5 end exponent end cell equals cell open parentheses x to the power of negative 4 minus open parentheses negative 2 close parentheses end exponent y to the power of 3 minus 2 end exponent close parentheses to the power of negative 5 end exponent end cell row blank equals cell open parentheses x to the power of negative 2 end exponent y close parentheses to the power of negative 5 end exponent end cell row blank equals cell open parentheses x to the power of negative 2 end exponent close parentheses to the power of negative 5 end exponent open parentheses y close parentheses to the power of negative 5 end exponent end cell row blank equals cell x to the power of 10 y to the power of negative 5 end exponent end cell row blank equals cell x to the power of 10 over y to the power of 5 end cell end table

Dengan demikian, bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of negative 4 end exponent y cubed over denominator x to the power of negative 2 end exponent y squared end fraction close parentheses to the power of negative 5 end exponent end cell equals cell x to the power of 10 over y to the power of 5 end cell end table 

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