
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
Define the operation rules as follows: $a \oplus b = a^{ \frac {1}{2}} + b^{ \frac {1}{3}}$, $a \otimes b = \log(a^2) - \log(b^{ \frac {1}{2}})$; if $M = 2 \frac {1}{4} \oplus \frac {8}{125}$, $N = \sqrt {2} \otimes \frac {1}{25}$, then find the value of $M+N$.

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