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Sederhanakan perpangkatan berikut ini. j. 9 2 2 1 5 ÷ ( 2 7 ) 2

Sederhanakan perpangkatan berikut ini.

j. $\frac{2 1 ^{5}}{9 ^{2}} \div (\frac{7}{2})^{2}$

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Jawaban terverifikasi

Jawaban

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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: dan rubahlah ke bilangan pokok 7 dan 3 sehingga: Dengan demikian .

Gunakan sifat-sifat pada bilangan berpangkat berikut ini:

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 .