Sederhanakan perpangkatan berikut ini. j. 92215​÷(27​)2

Pertanyaan

Sederhanakan perpangkatan berikut ini.

j. begin mathsize 14px style 21 to the power of 5 over 9 squared divided by open parentheses 7 over 2 close parentheses squared end style 

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Master Teacher

Jawaban terverifikasi

Jawaban

  21 to the power of 5 over 9 squared space colon space open parentheses 7 over 2 close parentheses squared equals 7 cubed cross times 3 cross times 2 squared.

Pembahasan

Gunakan sifat-sifat pada bilangan berpangkat berikut ini:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of negative n end exponent end cell equals cell 1 over a to the power of n end cell row cell open parentheses a to the power of p close parentheses to the power of n end cell equals cell a to the power of p times n end exponent end cell row cell open parentheses a cross times b close parentheses to the power of n end cell equals cell a to the power of n cross times b to the power of n end cell row cell open parentheses a over b close parentheses to the power of n end cell equals cell a to the power of n over b to the power of n end cell row cell a to the power of p over a to the power of q end cell equals cell a to the power of p minus q end exponent end cell end table end style     

dan rubahlah ke bilangan pokok 7 dan 3 sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell 21 to the power of 5 over 9 squared space colon space open parentheses 7 over 2 close parentheses squared end cell equals cell open parentheses 7 cross times 3 close parentheses to the power of 5 over open parentheses 3 squared close parentheses squared space colon space 7 squared over 2 squared end cell row blank equals cell fraction numerator 7 to the power of 5 cross times 3 to the power of 5 over denominator 3 to the power of 4 end fraction cross times 2 squared over 7 squared end cell row blank equals cell fraction numerator 7 to the power of 5 cross times 3 to the power of 5 cross times 2 squared over denominator 7 squared cross times 3 to the power of 4 end fraction end cell row blank equals cell 7 to the power of 5 minus 2 end exponent cross times 3 to the power of 5 minus 4 end exponent cross times 2 squared end cell row blank equals cell 7 cubed cross times 3 to the power of 1 cross times 2 squared end cell row blank equals cell 7 cubed cross times 3 cross times 2 squared end cell end table   

Dengan demikian  21 to the power of 5 over 9 squared space colon space open parentheses 7 over 2 close parentheses squared equals 7 cubed cross times 3 cross times 2 squared.

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