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Pertanyaan

open parentheses 2 over 3 close parentheses squared times open parentheses negative 3 over 4 close parentheses squared minus 3 over 2 cubed colon 5 over 8 equals...

  1. 1

  2. 0 comma 85

  3. 0 comma 54

  4. negative 0 comma 35

  5. negative 0 comma 25

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Ingat kembali:

a to the power of n equals stack stack a cross times a cross times a cross times... cross times a with underbrace below with a space s e b a n y a k space n below comma space a not equal to 0

a to the power of m over a to the power of n equals a to the power of m minus n end exponent comma space a not equal to 0

open parentheses a over b close parentheses to the power of n equals a to the power of n over b to the power of n comma space a not equal to 0 comma space b not equal to 0 

a to the power of m times a to the power of n equals a to the power of m plus n end exponent. space a not equal to 0 

a to the power of 0 equals 1 comma space a not equal to 0

Sehingga, kita peroleh perhitungan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 over 3 close parentheses squared times open parentheses negative 3 over 4 close parentheses squared minus 3 over 2 cubed colon 5 over 8 end cell equals cell 2 squared over 3 squared times open parentheses 3 over 4 close parentheses squared minus 3 over 2 cubed colon 5 over 2 cubed end cell row blank equals cell 2 squared over 3 squared times 3 squared over 4 squared minus fraction numerator 3 over denominator up diagonal strike 2 cubed end strike end fraction times fraction numerator up diagonal strike 2 cubed end strike over denominator 5 end fraction end cell row blank equals cell 2 squared over 3 squared times 3 squared over open parentheses 2 squared close parentheses squared minus 3 over 5 end cell row blank equals cell 2 squared over 3 squared times 3 squared over 2 to the power of 2 times 2 end exponent minus 3 over 5 end cell row blank equals cell 2 squared over 3 squared times 3 squared over 2 to the power of 4 minus 3 over 5 end cell row blank equals cell 2 squared over 2 to the power of 4 minus 3 over 5 end cell row blank equals cell 2 to the power of negative 2 end exponent minus 3 over 5 end cell row blank equals cell 1 over 2 squared minus 3 over 5 end cell row blank equals cell 1 fourth minus 3 over 5 end cell row blank equals cell fraction numerator 5 times 1 minus 4 times 3 over denominator 4 times 5 end fraction end cell row blank equals cell fraction numerator 5 minus 12 over denominator 20 end fraction end cell row blank equals cell negative 7 over 20 end cell row blank equals cell negative 0 comma 35 end cell end table    

Dengan demikian, hasil dari open parentheses 2 over 3 close parentheses squared times open parentheses negative 3 over 4 close parentheses squared minus 3 over 2 cubed colon 5 over 8  adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 0 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank comma end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 35 end table

Jadi, jawaban yang tepat adalah D

46

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