Pertanyaan

4 2 ⋅ 7 2 4 3 ⋅ ( 3 , 5 ) 2 = ...

$\frac{4 ^{3} \cdot ( 3 , 5 ) ^{2}}{4 ^{2} \cdot 7 ^{2}} = ...$

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S. Surya

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat kembali: Sehingga, kita peroleh perhitungan: 4 2 ⋅ 7 2 4 3 ⋅ ( 3 , 5 ) 2 = = = = = = = = = 4 2 ⋅ 7 2 4 3 ⋅ ( 10 35 ) 2 ( 2 2 ) 2 ⋅ 7 2 ( 2 2 ) 3 ⋅ ( 2 7 ) 2 2 2 ⋅ 2 ⋅ 7 2 2 2 ⋅ 3 ⋅ 2 2 7 2 2 4 ⋅ 7 2 2 6 ⋅ 2 2 7 2 2 4 ⋅ 7 2 2 6 ⋅ 7 2 ⋅ 2 − 2 2 6 + ( − 2 ) − 4 ⋅ 7 2 − 2 2 0 ⋅ 7 0 1 ⋅ 1 1 Dengan demikian, hasil dari adalah 1. Jadi, jawaban yang tepat adalah A.

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:

$\frac{4 ^{3} \cdot ( 3 , 5 ) ^{2}}{4 ^{2} \cdot 7 ^{2}} = = = = = = = = = \frac{4 ^{3} \cdot ( \frac{35}{10} ) ^{2}}{4 ^{2} \cdot 7 ^{2}} \frac{( 2 ^{2} ) ^{3} \cdot ( \frac{7}{2} ) ^{2}}{( 2 ^{2} ) ^{2} \cdot 7 ^{2}} \frac{2 ^{2 \cdot 3} \cdot \frac{7 ^{2}}{2 ^{2}}}{2 ^{2 \cdot 2} \cdot 7 ^{2}} \frac{2 ^{6} \cdot \frac{7 ^{2}}{2 ^{2}}}{2 ^{4} \cdot 7 ^{2}} \frac{2 ^{6} \cdot 7 ^{2} \cdot 2 ^{- 2}}{2 ^{4} \cdot 7 ^{2}} 2^{6 + (- 2) - 4} \cdot 7^{2 - 2} 2^{0} \cdot 7^{0} 1 \cdot 1 1$

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.