Pertanyaan

( 9 1 − x 3 x + 2 ) 3 2 = ....

$(\frac{3 ^{x + 2}}{9 ^{1 - x}})^{\frac{2}{3}} = ....$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Jika diberikanbilangan riil , danbilangan rasional maka berlaku sifatberikut. Sehingga dapat ditentukan hasil dari bentuk berikut. Sehingga diperoleh . Jadi, jawaban yang benar adalah B.

Jika diberikan bilangan riil a space dan space b , b not equal to 0 dan bilangan rasional p comma space q comma space r maka berlaku sifat berikut.

Sehingga dapat ditentukan hasil dari bentuk berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses square root of 3 to the power of x plus 2 end exponent over 9 to the power of 1 minus x end exponent end root close parentheses to the power of 2 over 3 end exponent end cell equals cell open parentheses open parentheses 3 to the power of x plus 2 end exponent over 9 to the power of 1 minus x end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell 3 to the power of open parentheses x plus 2 close parentheses times begin display style 1 half end style times begin display style 2 over 3 end style end exponent over open parentheses 3 squared close parentheses to the power of open parentheses 1 minus x close parentheses times begin display style 1 half end style times begin display style 2 over 3 end style end exponent end cell row blank equals cell 3 to the power of begin display style fraction numerator x plus 2 over denominator 3 end fraction end style end exponent over 3 to the power of 2 times begin display style fraction numerator 1 minus x over denominator 3 end fraction end style end exponent end cell row blank equals cell 3 to the power of begin display style fraction numerator x plus 2 over denominator 3 end fraction end style end exponent over 3 to the power of begin display style fraction numerator 2 minus 2 x over denominator 3 end fraction end style end exponent end cell row blank equals cell 3 to the power of fraction numerator x plus 2 over denominator 3 end fraction minus fraction numerator 2 minus 2 x over denominator 3 end fraction end exponent end cell row blank equals cell 3 to the power of fraction numerator x plus 2 minus 2 plus 2 x over denominator 3 end fraction end exponent end cell row blank equals cell 3 to the power of fraction numerator 3 x over denominator 3 end fraction end exponent end cell row blank equals cell 3 to the power of x end cell end table$

Sehingga diperoleh open parentheses square root of 3 to the power of x plus 2 end exponent over 9 to the power of 1 minus x end exponent end root close parentheses to the power of 2 over 3 end exponent equals 3 to the power of x .

Jadi, jawaban yang benar adalah B.

Latihan Bab

Konsep Kilat

Pengertian Bilangan Berpangkat

Sifat Bilangan Berpangkat

Persamaan Bilangan Berpangkat