Pertanyaan

Tentukan bentuk sederhana dari: 1 0 2 : 10 1 0 3 × 1 0 2

Tentukan bentuk sederhana dari: $\frac{1 0 ^{3} \times 1 0 ^{2}}{1 0 ^{2} : 10}$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 10 cubed cross times 10 squared over denominator 10 squared space colon space 10 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 000 end table$ .

Pembahasan

Ingat bahwa: Mencari : Jadi, .

Ingat bahwa:

$bullet space a to the power of b cross times a to the power of c equals a to the power of b plus c end exponent bullet space fraction numerator a over denominator b over c end fraction equals fraction numerator a cross times thin space c over denominator b end fraction bullet space x to the power of a over x to the power of b equals x to the power of a minus b end exponent$

Mencari $fraction numerator 10 cubed cross times 10 squared over denominator 10 squared space colon space 10 end fraction$ :

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 10 cubed cross times 10 squared over denominator 10 squared space colon space 10 end fraction end cell equals cell fraction numerator 10 cubed 10 squared over denominator 10 squared over 10 end fraction end cell row blank blank cell fraction numerator 10 cubed 10 squared over denominator 10 squared over 10 end fraction end cell row blank equals cell fraction numerator 10 to the power of 5 10 over denominator 10 squared end fraction end cell row blank equals cell 10 times 10 to the power of 5 minus 2 end exponent end cell row blank equals cell 10 cubed 10 end cell row blank equals cell 10 to the power of 3 plus 1 end exponent end cell row blank equals cell 10 to the power of 4 end cell row blank equals cell 10.000 end cell end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 10 cubed cross times 10 squared over denominator 10 squared space colon space 10 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 10 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank. end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 000 end table$ .