Pertanyaan

Nilai ( 30 × 22 ) 5 ( 15 × 11 ) 5 × 4 7 adalah ...

Nilai $\frac{( 15 \times 11 ) ^{5} \times 4 ^{7}}{( 30 \times 22 ) ^{5}}$ adalah ...

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut. , Penyelesaian soal di atas adalah sebagai berikut. Oleh karena itu, jawaban yang tepat adalah E.

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut.

a to the power of m times a to the power of n equals a to the power of m plus n end exponent

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

open parentheses a times b close parentheses to the power of m equals a to the power of m times b to the power of m

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent

Penyelesaian soal di atas adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 15 cross times 11 close parentheses to the power of 5 cross times 4 to the power of 7 over denominator open parentheses 30 cross times 22 close parentheses to the power of 5 end fraction end cell equals cell fraction numerator 15 to the power of 5 cross times 11 to the power of 5 cross times 4 to the power of 7 over denominator 30 to the power of 5 cross times 22 to the power of 5 end fraction end cell row blank equals cell fraction numerator 15 to the power of 5 cross times 11 to the power of 5 cross times 4 to the power of 7 over denominator open parentheses 2 cross times 15 close parentheses to the power of 5 cross times open parentheses 2 cross times 11 close parentheses to the power of 5 end fraction end cell row blank equals cell fraction numerator 15 to the power of 5 cross times 11 to the power of 5 cross times open parentheses 2 squared close parentheses to the power of 7 over denominator 2 to the power of 5 cross times 15 to the power of 5 cross times 2 to the power of 5 cross times 11 to the power of 5 end fraction end cell row blank equals cell fraction numerator 15 to the power of 5 cross times 11 to the power of 5 cross times 2 to the power of 14 over denominator 15 to the power of 5 cross times 11 to the power of 5 cross times 2 to the power of 10 end fraction end cell row blank equals cell 2 to the power of 14 over 2 to the power of 10 end cell row blank equals cell 2 to the power of 14 minus 10 end exponent end cell row blank equals cell 2 to the power of 4 end cell row blank equals 16 end table$

Oleh karena itu, jawaban yang tepat adalah E.