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Pertanyaan

Sederhanakanlah bentuk berikut.

fraction numerator open parentheses 3 m close parentheses to the power of 5 times open parentheses open parentheses 3 m close parentheses to the power of negative 1 end exponent close parentheses squared divided by open parentheses 3 m close parentheses cubed over denominator open parentheses 3 m close parentheses to the power of 4 divided by open parentheses 3 m close parentheses cubed end fraction

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 fraction numerator open parentheses 3 m close parentheses to the power of 5 times open parentheses open parentheses 3 m close parentheses to the power of negative 1 end exponent close parentheses squared divided by open parentheses 3 m close parentheses cubed over denominator open parentheses 3 m close parentheses to the power of 4 divided by open parentheses 3 m close parentheses cubed end fraction end cell equals cell fraction numerator 1 over denominator 3 m end fraction end cell end table

Pembahasan

Jika a bilangan real dan n bilangan bulat positif, maka pangkat n dari a ditulis a to the power of n didefinisikan sebagai berikut.

a to the power of n equals stack a times a times a times a times horizontal ellipsis times a times a with underbrace below space space space space space space space space space space space space text sebanyak end text space n

Ingat sifat-sifat bilangan berpangkat (eksponen) berikut.

a to the power of m times a to the power of n equals a to the power of m plus n end exponent

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 comma space a not equal to 0

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent

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

a to the power of 1 equals a

Penyelesaian soal di atas adalah sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 3 m close parentheses to the power of 5 times open parentheses open parentheses 3 m close parentheses to the power of negative 1 end exponent close parentheses squared divided by open parentheses 3 m close parentheses cubed over denominator open parentheses 3 m close parentheses to the power of 4 divided by open parentheses 3 m close parentheses cubed end fraction end cell row blank equals cell fraction numerator open parentheses 3 m close parentheses to the power of 5 times open parentheses 3 m close parentheses to the power of negative 2 end exponent divided by open parentheses 3 m close parentheses cubed over denominator open parentheses 3 m close parentheses to the power of 4 divided by open parentheses 3 m close parentheses cubed end fraction end cell row blank equals cell open parentheses 3 m close parentheses to the power of 5 plus open parentheses negative 2 close parentheses minus 3 end exponent over open parentheses 3 m close parentheses to the power of 4 minus 3 end exponent end cell row blank equals cell open parentheses 3 m close parentheses to the power of 0 over open parentheses 3 m close parentheses to the power of 1 end cell row blank equals cell fraction numerator 1 over denominator 3 m end fraction end cell end table

Dengan demikian, bentuk sederhana dari table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 3 m close parentheses to the power of 5 times open parentheses open parentheses 3 m close parentheses to the power of negative 1 end exponent close parentheses squared divided by open parentheses 3 m close parentheses cubed over denominator open parentheses 3 m close parentheses to the power of 4 divided by open parentheses 3 m close parentheses cubed end fraction end cell equals cell fraction numerator 1 over denominator 3 m end fraction end cell end table

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