Pertanyaan

Sederhanakan perpangkatan berikut ini. e. 3 3 3 7 × 3 2

Sederhanakan perpangkatan berikut ini.

e. $\frac{3 ^{7} \times 3 ^{2}}{3 ^{3}}$

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Jawaban terverifikasi

Jawaban

.

$begin mathsize 14px style fraction numerator 3 to the power of 7 cross times 3 squared over denominator 3 cubed end fraction equals 3 to the power of 6 end style$ .

Pembahasan

Gunakan sifat perkalian dan pembagian pada bilangan berpangkat: sehingga: Dengan demikian .

Gunakan sifat perkalian dan pembagian pada bilangan berpangkat:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of p cross times a to the power of q end cell equals cell a to the power of p plus q end exponent 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

sehingga:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 to the power of 7 cross times 3 squared over denominator 3 cubed end fraction end cell equals cell 3 to the power of 7 plus 2 end exponent over 3 cubed end cell row blank equals cell 3 to the power of 9 over 3 cubed end cell row blank equals cell 3 to the power of 9 minus 3 end exponent end cell row blank equals cell 3 to the power of 6 end cell end table end style$

Dengan demikian $begin mathsize 14px style fraction numerator 3 to the power of 7 cross times 3 squared over denominator 3 cubed end fraction equals 3 to the power of 6 end style$ .