Roboguru

Bentuk sederhana dari  adalah ....

Bentuk sederhana dari open parentheses fraction numerator a to the power of begin display style 1 fourth end style end exponent b to the power of begin display style 5 over 4 end style end exponent over denominator a to the power of begin display style fraction numerator negative 3 over denominator 2 end fraction end style end exponent b end fraction close parentheses to the power of 4 adalah ....

  1. a to the power of 7 b 

  2. a to the power of 5 b 

  3. a to the power of 7 b to the power of 9 

  4. a to the power of 5 b to the power of 9

  5. a b

Jawaban:

Bilangan berpangkat atau eksponen.

table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses a cross times b close parentheses to the power of n end cell equals cell a to the power of n cross times b to the power of n end cell row cell open parentheses a over b close parentheses to the power of n end cell equals cell a to the power of n over b to the power of n end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m cross times n end exponent end cell row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell end table

Perhatikan perhitungan berikut.

table attributes columnalign right center left columnspacing 2px end attributes row cell open parentheses fraction numerator a to the power of begin display style 1 fourth end style end exponent b to the power of begin display style 5 over 4 end style end exponent over denominator a to the power of begin display style fraction numerator negative 3 over denominator 2 end fraction end style end exponent b end fraction close parentheses to the power of 4 end cell equals cell open parentheses a to the power of 1 fourth end exponent b to the power of 5 over 4 end exponent close parentheses to the power of 4 over open parentheses a to the power of fraction numerator negative 3 over denominator 2 end fraction end exponent b close parentheses to the power of 4 end cell row blank equals cell fraction numerator a to the power of open parentheses begin display style 1 fourth end style cross times 4 close parentheses end exponent b to the power of open parentheses begin display style 5 over 4 end style cross times 4 close parentheses end exponent over denominator a to the power of open parentheses fraction numerator negative 3 over denominator 2 end fraction cross times 4 close parentheses end exponent b to the power of open parentheses 1 cross times 4 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator a to the power of 1 b to the power of 5 over denominator a to the power of negative 6 end exponent b to the power of 4 end fraction end cell row blank equals cell a to the power of 1 minus open parentheses negative 6 close parentheses end exponent b to the power of 5 minus 4 end exponent end cell row blank equals cell a to the power of 1 plus 6 end exponent b to the power of 1 end cell row cell open parentheses fraction numerator a to the power of begin display style 1 fourth end style end exponent b to the power of begin display style 5 over 4 end style end exponent over denominator a to the power of begin display style fraction numerator negative 3 over denominator 2 end fraction end style end exponent b end fraction close parentheses to the power of 4 end cell equals cell a to the power of 7 b end cell end table

Jadi, jawaban yang tepat adalah A.

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