Does $\mathbb{Q}^n$ have larger cardinality than the set $\{(a_1,a_2,...) : a_i ∈ \mathbb{Z}\}$?

Question

Define $A = \{(a_1,a_2,...) : a_i ∈ \mathbb{Z}\ , \forall \ i\}$, which represents the set of integer sequences, and let $\mathbb{Q}^n$ represet the set of size $n$ tuples of the rationals

Both are uncountable, but does one of these sets have cardinality greater than the other set?

Answer 1

$\mathbb{Q}^n$ is countable and $A$ is uncountable.