Question

sendo a=2³.2³.2.3³.3³.3².7 e b=2³.2².3³.3³, o quociente de a por b é quanto?

Answer 1

Sendo:

$a=2^3.2^3.2.3^3.3^3.3^2.7 \\ \\ a= 2^{3+3+1} . 3^{3+3+2} .7 \\ \\ a=2^7.3^8.7 \\ \\ \\ b=2^3.2^2.3^3.3^3 \\ \\ b= 2^{3+2} . 3^{3+3} \\ \\ b=2^5.3^6 \\ logo \\ a \div b= \\ 2^7.3^8.7\div2^5.3^6= 2^{7-5}. 3^{8-6} .7=2^2.3^2.7=4.9.7=252$