
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the parametric equation of curve $C\_1$ as $ \begin{cases} x=4t \
y=3t-1\end{cases} (t\text{ is the parameter})$, when $t=0$, the corresponding point on curve $C\_1$ is $P$. Establish a polar coordinate system with the origin $O$ as the pole and the positive semi-axis of the $x$-axis as the polar axis. The polar equation of curve $C\_2$ is $ρ= \dfrac {8\cos θ}{1-\cos 2θ}$.

(I) Find the Cartesian equation of curve $C\_1$ and the polar equation of curve $C\_2$;

(II) Let $A$ and $B$ be the intersection points of curves $C\_1$ and $C\_2$. Find the value of $|PA|⋅|PB|$.

Present the answer in LaTex format: \boxed{Your answer}
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