Pertanyaan

Sederhanakan bentuk dibawah ini: d. ( c 5 ⋅ d 3 a ⋅ b 2 ) 4 = ...

Sederhanakan bentuk dibawah ini:

d. $(\frac{a \cdot b ^{2}}{c ^{5} \cdot d ^{3}})^{4} =$ ...

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $begin mathsize 14px style open parentheses fraction numerator a times thin space b squared over denominator c to the power of 5 times thin space d cubed end fraction close parentheses to the power of 4 end style$ adalah $begin mathsize 14px style fraction numerator a to the power of 4 b to the power of 8 over denominator c to the power of 20 d to the power of 12 end fraction end style$ .

Pembahasan

Menyederhanakan bentuk : Sifat bilangan berpangkat: Jadi, bentuk sederhana dari adalah .

Menyederhanakan bentuk $begin mathsize 14px style open parentheses fraction numerator a times thin space b squared over denominator c to the power of 5 times thin space d cubed end fraction close parentheses to the power of 4 end style$ :

Sifat bilangan berpangkat:
open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a times thin space b squared over denominator c to the power of 5 times thin space d cubed end fraction close parentheses to the power of 4 end cell equals cell open parentheses a b squared close parentheses to the power of 4 over open parentheses c to the power of 5 d cubed close parentheses to the power of 4 end cell row blank equals cell fraction numerator a to the power of 4 open parentheses b squared close parentheses to the power of 4 over denominator open parentheses c to the power of 5 close parentheses to the power of 4 open parentheses d cubed close parentheses to the power of 4 end fraction end cell row blank equals cell fraction numerator a to the power of 4 b to the power of 8 over denominator c to the power of 20 d to the power of 12 end fraction end cell end table end style$

Jadi, bentuk sederhana dari $begin mathsize 14px style open parentheses fraction numerator a times thin space b squared over denominator c to the power of 5 times thin space d cubed end fraction close parentheses to the power of 4 end style$ adalah $begin mathsize 14px style fraction numerator a to the power of 4 b to the power of 8 over denominator c to the power of 20 d to the power of 12 end fraction end style$ .