Question

simplificando a expressão [2^11/(2^5×2)³]^-2

Answer 1

Olá.

Usaremos as seguintes propriedades de potência:
$\boxed{\boxed{\mathsf{(m^s)^r=m^{s\cdot r}}}\ \ \ \ \ \boxed{\mathsf{m^s\cdot m^r=m^{s+r}}}\ \ \ \boxed{\mathsf{m^s/m^r=m^{s-r}}}\ \ \ \boxed{\mathsf{m^{-s}=\dfrac{1}{m^s}}}}$

$\mathsf{\left[\dfrac{2^{11}}{(2^5\cdot2)^3}\right]^{-2}=}\\\\\\ \mathsf{\left[\dfrac{2^{11}}{(2^6)^3}\right]^{-2}=}\\\\\\ \mathsf{\left[\dfrac{2^{11}}{2^{18}}\right]^{-2}=}\\\\\\ \mathsf{\left[\dfrac{2^{18}}{2^{11}}\right]^{2}=}\\\\\\ \mathsf{\dfrac{2^{36}}{2^{22}}=}\\\\ \mathsf{2^{36-22}=}\\\\ \mathsf{2^{14}=}\\\\\boxed{\mathsf{16.384}}$

Qualquer dúvida, deixe nos comentários.
Bons estudos.