Complete the analogy:
$145:15^4::532:?$

Let's look at how $145$ is converted into $15^4$:
The digits of the number $145$ are $1$, $4$, and $5$.
Notice the arrangement in $15^4$:

* The first digit ($1$) and the third digit ($5$) combine to form the base: $15$.
* The middle digit ($4$) becomes the exponent (power): $4$.
So, $145\to 15^4$.

Now, let's apply the exact same rule to $532$:

* The digits are $5$, $3$, and $2$.
* Combining the first digit ($5$) and the third digit ($2$) to form the base gives: $52$.
* The middle digit ($3$) becomes the exponent (power): $3$.

Thus, $532\to 52^3$.