Question

(24)
5. (OBM) A razão
igual a:
$\frac{(2^{4})^{8} }{(4 ^{8}) ^{4} } =$
​

Answer 1

Resposta:

$\displaystyle \boxed{\mathtt{\frac{1}{2^{32}}}}$

Explicação passo-a-passo:

$\\ \displaystyle \mathsf{\frac{(2^4)^8}{(4^8)^4} =} \\\\\\ \mathsf{\frac{2^{4 \cdot 8}}{4^{8 \cdot 4}} =} \\\\\\ \mathsf{\frac{2^{32}}{4^{32}} =} \\\\\\ \mathsf{\frac{2^{32}}{(2^2)^{32}} =} \\\\\\ \mathsf{\frac{2^{32}}{2^{64}} =} \\\\ \mathsf{2^{32 - 64} =} \\\\ \boxed{\boxed{\mathsf{2^{- 32}}}}$