Pertanyaan

( 3 2 ) 2 ⋅ ( − 4 3 ) 2 − 2 3 3 : 8 5 = ...

$(\frac{2}{3})^{2} \cdot (- \frac{3}{4})^{2} - \frac{3}{2 ^{3}} : \frac{5}{8} = ...$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D

Pembahasan

Ingat kembali: Sehingga, kita peroleh perhitungan: Dengan demikian, hasil dari adalah Jadi, jawaban yang tepat adalah D

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

Jadi, jawaban yang tepat adalah D