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Tentukan nilai  dari  !

Tentukan nilai n dari fraction numerator open parentheses 4 squared close parentheses to the power of 5 cross times open parentheses begin display style 1 half end style close parentheses cubed over denominator open parentheses begin display style 1 half end style close parentheses squared cross times left parenthesis 4 right parenthesis squared end fraction equals 2 to the power of n !

Jawaban:

Persamaan bilangan berpangkat di atas dapat disederhanakan seperti berikut,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses 4 squared close parentheses to the power of 5 cross times open parentheses begin display style 1 half end style close parentheses cubed over denominator open parentheses begin display style 1 half end style close parentheses squared cross times open parentheses 4 squared close parentheses end fraction end cell equals cell 2 to the power of n end cell row cell fraction numerator open parentheses 4 squared close parentheses to the power of up diagonal strike 5 space 4 end exponent over denominator up diagonal strike open parentheses 4 squared close parentheses end strike end fraction cross times fraction numerator open parentheses begin display style 1 half end style close parentheses to the power of up diagonal strike 3 space 2 end exponent over denominator up diagonal strike open parentheses 1 half close parentheses squared end strike end fraction end cell equals cell 2 to the power of n end cell row cell open parentheses open parentheses 4 close parentheses squared close parentheses to the power of 4 cross times open parentheses 1 half close parentheses squared end cell equals cell 2 to the power of n end cell row cell open parentheses 2 squared close parentheses to the power of 8 cross times open parentheses 2 to the power of negative 1 end exponent close parentheses squared end cell equals cell 2 to the power of n end cell row cell 2 to the power of 16 cross times 2 to the power of negative 2 end exponent end cell equals cell 2 to the power of n end cell row cell 2 to the power of 14 end cell equals cell 2 to the power of n end cell end table  

Karena bilangan pokoknya sama, maka dapat dibuat persamaan pangkatnya yaitu n equals 14.

Jadi, nilai n adalah 14.

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