
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 an even function $f\left(x\right)\left(x\in R\right)$ satisfies $f\left(x+2\right)=-f\left(x\right)$, and when $x\in \left(1,2\right]$, $f\left(x\right)=2^{x}$, then $f(\frac{2021}{2})=\_\_\_\_\_\_$.

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