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42⋅7243⋅(3,5)2​=...

Pertanyaan

fraction numerator 4 cubed times open parentheses 3 comma 5 close parentheses squared over denominator 4 squared times 7 squared end fraction equals...

  1. 1

  2. 3

  3. 5

  4. 2

  5. 4

Pembahasan Video:

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 fraction numerator 4 cubed times open parentheses 3 comma 5 close parentheses squared over denominator 4 squared times 7 squared end fraction end cell equals cell fraction numerator 4 cubed times open parentheses begin display style 35 over 10 end style close parentheses squared over denominator 4 squared times 7 squared end fraction end cell row blank equals cell fraction numerator open parentheses 2 squared close parentheses cubed times open parentheses begin display style 7 over 2 end style close parentheses squared over denominator open parentheses 2 squared close parentheses squared times 7 squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 2 times 3 end exponent times begin display style 7 squared over 2 squared end style over denominator 2 to the power of 2 times 2 end exponent times 7 squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 times begin display style 7 squared over 2 squared end style over denominator 2 to the power of 4 times 7 squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 6 times 7 squared times 2 to the power of negative 2 end exponent over denominator 2 to the power of 4 times 7 squared end fraction end cell row blank equals cell 2 to the power of 6 plus open parentheses negative 2 close parentheses minus 4 end exponent times 7 to the power of 2 minus 2 end exponent end cell row blank equals cell 2 to the power of 0 times 7 to the power of 0 end cell row blank equals cell 1 times 1 end cell row blank equals 1 end table 

Dengan demikian, hasil dari table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 cubed times open parentheses 3 comma 5 close parentheses squared over denominator 4 squared times 7 squared end fraction end cell end table  adalah 1.

Jadi, jawaban yang tepat adalah A.

Jawaban terverifikasi

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Terakhir diupdate 03 Desember 2021

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