Find the expected values: $\mathbb{E}[X^Y] , \mathbb{E}[2^{X - 5\cdot Y}]$

Question

Let $X$ be a geometric variable with parameter $p \in ]1,2[ $ and $Y$ bernoulli distributed with the same parameter p. Assuming $X$ and $Y$ are independent, find the following expected values: $\mathbb{E}[X^Y] , \mathbb{E}[2^{X - 5\cdot Y}]$