
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 two points $A(-1,3)$ and $B(2,-3)$, the line segment $AB$ is translated to $A_{1}B_{1}$. If $A_{1}(a,1)$ and $B_{1}(5,-b)$, calculate the value of $a^{b}$.

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