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Sederhanakan: a. ( a 3 ⋅ b 4 ⋅ c 6 ) ⋅ ( a ⋅ b 3 ⋅ c 2 ) 2

Sederhanakan:

a.

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N. Puspita

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 begin mathsize 14px style open parentheses a cubed times thin space b to the power of 4 times thin space c to the power of 6 close parentheses open parentheses a times thin space b cubed times thin space c squared close parentheses squared equals a to the power of 5 b to the power of 10 c to the power of 10 end style.

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Sifat bilangan berpangkat yang digunakan: Menyederhakan , didapat: Jadi, .

Sifat bilangan berpangkat yang digunakan:
1. space 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 2. space a to the power of m space cross times space a to the power of n equals a to the power of m plus n end exponent 

Menyederhakan begin mathsize 14px style open parentheses a cubed times b to the power of 4 times c to the power of 6 close parentheses times open parentheses a times b cubed times c squared close parentheses squared end style, didapat:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a cubed times thin space b to the power of 4 times thin space c to the power of 6 close parentheses open parentheses a times thin space b cubed times thin space c squared close parentheses squared end cell equals cell open parentheses a cubed times thin space b to the power of 4 times thin space c to the power of 6 close parentheses open parentheses a times thin space b cubed times thin space c squared close parentheses squared end cell row blank equals cell left parenthesis a cubed b to the power of 4 c to the power of 6 right parenthesis left parenthesis a squared b to the power of 6 c to the power of 4 right parenthesis end cell row blank equals cell a to the power of 3 plus 2 end exponent b to the power of 4 plus 6 end exponent c to the power of 6 plus 4 end exponent end cell row blank equals cell a to the power of 5 b to the power of 10 c to the power of 10 end cell end table 

Jadi, begin mathsize 14px style open parentheses a cubed times thin space b to the power of 4 times thin space c to the power of 6 close parentheses open parentheses a times thin space b cubed times thin space c squared close parentheses squared equals a to the power of 5 b to the power of 10 c to the power of 10 end style.

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