Pertanyaan

Nyatakan dalam bilangan berpangkat ! e. y 9 x 3 f. 3 b 4 c 5 a g. − 3 a 7 b 8 8

Nyatakan dalam bilangan berpangkat !

e. $\frac{x ^{3}}{y ^{9}}$

f. $\frac{a}{3 b ^{4} c ^{5}}$

g. $- \frac{8}{3 a ^{7} b ^{8}}$

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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-sifat bilangan berpangkat berikut. Berdasarkan hal-hal di atas, maka: e) f) g) 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-sifat bilangan berpangkat berikut.

Berdasarkan hal-hal di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of x cubed end root over denominator square root of y to the power of 9 end root end fraction end cell equals cell x to the power of begin display style 3 over 2 end style end exponent over y to the power of begin display style 9 over 2 end style end exponent end cell row blank equals cell x to the power of 3 over 2 end exponent y to the power of negative 9 over 2 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of a over denominator cube root of b to the power of 4 c to the power of 5 end root end fraction end cell equals cell a to the power of begin display style 1 half end style end exponent over open parentheses b to the power of 4 c to the power of 5 close parentheses to the power of begin display style 1 third end style end exponent end cell row blank equals cell fraction numerator a to the power of begin display style 1 half end style end exponent over denominator open parentheses b to the power of 4 close parentheses to the power of begin display style 1 third end style end exponent times open parentheses c to the power of 5 close parentheses to the power of begin display style 1 third end style end exponent end fraction end cell row blank equals cell fraction numerator a to the power of begin display style 1 half end style end exponent over denominator b to the power of 4 cross times begin display style 1 third end style end exponent times c to the power of 5 cross times begin display style 1 third end style end exponent end fraction end cell row blank equals cell fraction numerator a to the power of begin display style 1 half end style end exponent over denominator b to the power of begin display style 4 over 3 end style end exponent times c to the power of begin display style 5 over 3 end style end exponent end fraction end cell row blank equals cell a to the power of 1 half end exponent b to the power of negative 4 over 3 end exponent c to the power of negative 5 over 3 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell negative fraction numerator 8 over denominator cube root of a to the power of 7 b to the power of 8 end root end fraction end cell equals cell negative 8 over open parentheses a to the power of 7 b to the power of 8 close parentheses to the power of begin display style 1 third end style end exponent end cell row blank equals cell negative fraction numerator 8 over denominator open parentheses a to the power of 7 close parentheses to the power of begin display style 1 third end style end exponent times open parentheses b to the power of 8 close parentheses to the power of begin display style 1 third end style end exponent end fraction end cell row blank equals cell negative fraction numerator 8 over denominator a to the power of 7 cross times begin display style 1 third end style end exponent times b to the power of 8 cross times begin display style 1 third end style end exponent end fraction end cell row blank equals cell negative fraction numerator 8 over denominator a to the power of begin display style 7 over 3 end style end exponent times b to the power of begin display style 8 over 3 end style end exponent end fraction end cell row blank equals cell negative 8 a to the power of negative 7 over 3 end exponent b to the power of negative 8 over 3 end exponent end cell end table$

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