Question

Qual é a potência de 4 que representa o valor de x : y?

Answer 1

Explicação passo-a-passo:

• $\sf x=(4^2)^3\cdot(4^3\div4^2)^4$

$\sf x=4^{2\cdot3}\cdot(4^{3-2})^4$

$\sf x=4^6\cdot(4^1)^4$

$\sf x=4^6\cdot4^{1\cdot4}$

$\sf x=4^6\cdot4^4$

$\sf x=4^{6+4}$

$\sf x=4^{10}$

• $\sf y=(4^9)^2\div(4^4\cdot4^2)^2$

$\sf y=4^{9\cdot2}\div(4^{4+2})^2$

$\sf y=4^{18}\div(4^6)^2$

$\sf y=4^{18}\div4^{6\cdot2}$

$\sf y=4^{18}\div4^{12}$

$\sf y=4^{18-12}$

$\sf y=4^6$

• $\sf x\div y=4^{10}\div4^6$

$\sf x\div y=4^{10-6}$

$\sf x\div y=4^4$