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Nyatakan akar bilangan berikut dalarn bentuk bilangan berpangkat ! h. 4 x 8 y − 6 z 2 ​ i. 3 − 9 x − 5 y − 3 2 ​ ​ j. 4 8 x 7 y − 9 z 4 3 ​ ​

Nyatakan akar bilangan berikut dalarn bentuk bilangan berpangkat !

h.
i.
j.

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

, dan .

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

Pembahasan

Ingatlah, untuk sembarang bilangan dengan , berlaku: dengan . Ingat juga, sifat-sifat bilangan berpangkat berikut. Berdasarkan hal-hal di atas, maka: h) i) j) Dengan demikian, , dan .

Ingatlah, untuk sembarang bilangan a 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.

left parenthesis straight i right parenthesis space open parentheses a cross times b close parentheses to the power of m equals a to the power of m cross times b to the power of m left parenthesis ii right parenthesis space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent

Berdasarkan hal-hal di atas, maka:

h)

table attributes columnalign right center left columnspacing 0px end attributes row cell fourth root of x to the power of 8 y to the power of negative 6 end exponent z squared end root end cell equals cell open parentheses x to the power of 8 y to the power of negative 6 end exponent z squared close parentheses to the power of 1 fourth end exponent end cell row blank equals cell open parentheses x to the power of 8 close parentheses to the power of 1 fourth end exponent times open parentheses y to the power of negative 6 end exponent close parentheses to the power of 1 fourth end exponent times open parentheses z squared close parentheses to the power of 1 fourth end exponent end cell row blank equals cell x to the power of 8 cross times 1 fourth end exponent times y to the power of negative 6 cross times 1 fourth end exponent times z to the power of 2 cross times 1 fourth end exponent end cell row blank equals cell x squared y to the power of negative 3 over 2 end exponent z to the power of 1 half end exponent end cell end table

i)

table attributes columnalign right center left columnspacing 0px end attributes row cell cube root of negative 9 x to the power of negative 5 end exponent y to the power of negative 2 over 3 end exponent end root end cell equals cell open parentheses negative 9 x to the power of negative 5 end exponent y to the power of negative 2 over 3 end exponent close parentheses to the power of 1 third end exponent end cell row blank equals cell open parentheses negative 3 squared close parentheses to the power of 1 third end exponent times open parentheses x to the power of negative 5 end exponent close parentheses to the power of 1 third end exponent times open parentheses y to the power of negative 2 over 3 end exponent close parentheses to the power of 1 third end exponent end cell row blank equals cell negative 3 to the power of 2 cross times 1 third end exponent times x to the power of negative 5 cross times 1 third end exponent times y to the power of negative 2 over 3 cross times 1 third end exponent end cell row blank equals cell negative 3 to the power of 2 over 3 end exponent x to the power of negative 5 over 3 end exponent y to the power of negative 2 over 9 end exponent end cell end table

j)

table attributes columnalign right center left columnspacing 0px end attributes row cell fourth root of 8 x to the power of 7 y to the power of negative 9 end exponent z to the power of 3 over 4 end exponent end root end cell equals cell open parentheses 8 x to the power of 7 y to the power of negative 9 end exponent z to the power of 3 over 4 end exponent close parentheses to the power of 1 fourth end exponent end cell row blank equals cell open parentheses 2 cubed close parentheses to the power of 1 fourth end exponent times open parentheses x to the power of 7 close parentheses to the power of 1 fourth end exponent times open parentheses y to the power of negative 9 end exponent close parentheses to the power of 1 fourth end exponent times open parentheses z to the power of 3 over 4 end exponent close parentheses to the power of 1 fourth end exponent end cell row blank equals cell 2 to the power of 3 cross times 1 fourth end exponent times x to the power of 7 cross times 1 fourth end exponent times y to the power of negative 9 cross times 1 fourth end exponent times z to the power of 3 over 4 cross times 1 fourth end exponent end cell row blank equals cell 2 to the power of 3 over 4 end exponent x to the power of 7 over 4 end exponent y to the power of negative 9 over 4 end exponent z to the power of 3 over 16 end exponent end cell end table
 

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

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