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Hasil dari  untuk  bilangan bulat positif. Nilai d...

Hasil dari begin mathsize 14px style 27 cross times 125 equals a to the power of b end style untuk begin mathsize 14px style a comma b element of end style bilangan bulat positif. Nilai dari begin mathsize 14px style a minus b end style adalah ....

Jawaban:

Hasil dari begin mathsize 14px style 27 cross times 125 equals a to the power of b end style untuk begin mathsize 14px style a comma b element of end style bilangan bulat positif. Akan dicari nilai begin mathsize 14px style a end style dan begin mathsize 14px style b end style terlebih dahulu. Diperhatikan bahwa begin mathsize 14px style 27 equals 3 cross times 3 cross times 3 equals 3 cubed end style dan begin mathsize 14px style 125 equals 5 cross times 5 cross times 5 equals 5 cubed end style. Juga menurut sifat

 begin mathsize 14px style a to the power of n cross times b to the power of n equals open parentheses a cross times b close parentheses to the power of n semicolon space a comma b comma n element of straight real numbers end style,

diperoleh

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 27 cross times 125 end cell equals cell a to the power of b end cell row cell 3 cubed cross times 5 cubed end cell equals cell a to the power of b end cell row cell open parentheses 3 cross times 5 close parentheses cubed end cell equals cell a to the power of b end cell row cell 15 cubed end cell equals cell a to the power of b end cell end table end style 

Jadi, diperoleh begin mathsize 14px style a equals 15 end style dan begin mathsize 14px style b equals 3 end style. Sehingga begin mathsize 14px style a minus b equals 15 minus 3 equals 12 end style.

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