Pertanyaan

Nyatakan dalam bilangan berpangkat ! a. 4 5 1 b. 3 5 4 1 c. a 5 2 d. 4 b 3 5

Nyatakan dalam bilangan berpangkat !

a. $\frac{1}{4 ^{5}}$

b. $\frac{1}{3 5 ^{4}}$

c. $\frac{2}{a ^{5}}$

d. $\frac{5}{4 b ^{3}}$

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

, , , dan .

Error converting from MathML to accessible text.

, dan

Pembahasan

Ingatlah, untuk sembarang bilangan dengan , berlaku: dengan . Ingat juga, sifat bilangan berpangkat negatif berikut. Berdasarkan hal-hal di atas, maka: a) b) c) d) Dengan demikian, , , , dan .

Ingatlah, untuk sembarang bilangan dengan a not equal to 0 , berlaku:

n-th root of a to the power of m end root equals a to the power of m over n end exponent

dengan n not equal to 0 .

Ingat juga, sifat bilangan berpangkat negatif berikut.

a to the power of negative m end exponent equals 1 over a to the power of m

Berdasarkan hal-hal di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator square root of 4 to the power of 5 end root end fraction end cell equals cell 1 over 4 to the power of begin display style 5 over 2 end style end exponent end cell row blank equals cell 4 to the power of negative 5 over 2 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 1 over denominator cube root of 5 to the power of 4 end root end fraction end cell equals cell 1 over 5 to the power of begin display style 4 over 3 end style end exponent end cell row blank equals cell 5 to the power of negative 4 over 3 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 over denominator square root of a to the power of 5 end root end fraction end cell equals cell 2 over a to the power of begin display style 5 over 2 end style end exponent end cell row blank equals cell 2 a to the power of negative 5 over 2 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 5 over denominator fourth root of b cubed end root end fraction end cell equals cell 5 over b to the power of begin display style 3 over 4 end style end exponent end cell row blank equals cell 5 b to the power of negative 3 over 4 end exponent end cell end table$

Dengan demikian, Error converting from MathML to accessible text. , , , dan .