The remainder obtained when $5^{99}$ is divided by $13$ is

If $n \in N$,then ${7^{2n}} + {2^{3n - 3}} \cdot {3^{n - 1}}$ is always divisible by

The remainder when $(2021)^{2022} + (2022)^{2021}$ is divided by $7$ is:

The remainder when $((64)^{(64)})^{(64)}$ is divided by $7$ is equal to

The remainder when $64^{32^{32}}$ is divided by $9$ is equal to .........................

The $50^{\text{th}}$ root of a number $x$ is $12$ and the $50^{\text{th}}$ root of another number $y$ is $18$. Then the remainder obtained on dividing $(x + y)$ by $25$ is $........$.