Roboguru

Pertanyaan

fraction numerator 10 to the power of x plus y end exponent times 10 to the power of y minus x end exponent times 10 to the power of y plus 1 end exponent over denominator 10 to the power of 2 y plus 1 end exponent times 10 to the power of y plus 1 end exponent end fraction equals....

  1. 10 to the power of x plus y end exponent

  2. 10 to the power of x

  3. 10

  4. 10 to the power of negative 1 end exponent

Pembahasan Soal:

Persamaan bilangan berpangkat

Sifat eksponen

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of m times a to the power of n end cell equals cell a to the power of m plus n end exponent end cell row cell a to the power of m over a to the power of n end cell equals cell a to the power of m minus n end exponent end cell end table
 

Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 10 to the power of x plus y end exponent times 10 to the power of y minus x end exponent times 10 to the power of y plus 1 end exponent over denominator 10 to the power of 2 y plus 1 end exponent times 10 to the power of y plus 1 end exponent end fraction end cell equals cell 10 to the power of x plus y plus y minus x plus y plus 1 end exponent over 10 to the power of 2 y plus 1 plus y plus 1 end exponent end cell row blank equals cell 10 to the power of 3 y plus 1 end exponent over 10 to the power of 3 y plus 2 end exponent end cell row blank equals cell 10 to the power of 3 y plus 1 minus 3 y minus 2 end exponent end cell row blank equals cell 10 to the power of negative 1 end exponent end cell row blank equals cell 1 over 10 end cell end table

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 10 to the power of x plus y end exponent times 10 to the power of y minus x end exponent times 10 to the power of y plus 1 end exponent over denominator 10 to the power of 2 y plus 1 end exponent times 10 to the power of y plus 1 end exponent end fraction end cell equals cell 1 over 10 end cell end table.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 17 Juli 2021

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