Pertanyaan

Sederhanakanlah a. ( 2 3 × 3 2 2 5 × 3 4 ) 2

Sederhanakanlah

a. $(\frac{2 ^{5} \times 3 ^{4}}{2 ^{3} \times 3 ^{2}})^{2}$

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared$ adalah 6 to the power of 4

Pembahasan

Ingat sifat eksponen berikut. Jika , maka Jadi, bentuk sederhana dari adalah .

Ingat sifat eksponen berikut.

Jika $open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared$ , maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared end cell equals cell fraction numerator open parentheses 2 to the power of 5 close parentheses squared cross times open parentheses 3 to the power of 4 close parentheses squared over denominator open parentheses 2 cubed close parentheses squared cross times open parentheses 3 squared close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 10 cross times 3 to the power of 8 over denominator 2 to the power of 6 cross times 3 to the power of 4 end fraction end cell row blank equals cell 2 to the power of 10 over 2 to the power of 6 times 3 to the power of 8 over 3 to the power of 4 end cell row blank equals cell 2 to the power of 10 minus 6 end exponent times 3 to the power of 8 minus 4 end exponent end cell row blank equals cell 2 to the power of 4 times 3 to the power of 4 end cell row blank equals cell open parentheses 2 times 3 close parentheses to the power of 4 end cell row blank equals cell 6 to the power of 4 end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator 2 to the power of 5 cross times 3 to the power of 4 over denominator 2 cubed cross times 3 squared end fraction close parentheses squared$ adalah 6 to the power of 4 .