Question

Urgentee
Determine o quociente de 1024^2 por 64^3
Dicas: 1) quociente = divisão
2) tente usar o número 2 como base da potenciação
Calcule
A) com base 2 -> 32^4 x 512
B) com base 3 -> 243^2 : 3^6
C) com base 5 -> 25^6 x 125^2 : 15625

Answer 1

$\large\boxed{\begin{array}{l}\begin{array}{c|c}\sf1024&\sf2\\\sf512&\sf2\\\sf256&\sf2\\\sf128&\sf2\\\sf64&\sf2\\\sf32&\sf2\\\sf16&\sf2\\\sf8&\sf2\\\sf4&\sf2\\\sf2&\sf2\\\sf1\end{array}\\\sf 1024=2^{10}\\\\\sf\dfrac{1024^2}{64^3}=\dfrac{(2^{10})^2}{(2^6)^3}\\\\\sf\dfrac{1024^2}{64^3}=\dfrac{2^{20}}{2^{18}}\\\\\sf\dfrac{1024^2}{64^3}=2^{20-18}\\\\\sf\dfrac{1024^2}{64^3}=2^2\\\\\sf\dfrac{1024^2}{64^3}=4\end{array}}$