
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
Let $P=8^{0.25} \times \sqrt[4]{2} + \left(\frac{27}{64}\right)^{-\frac{1}{3}} - (-2018)^0$, and $Q=2\log_3 2 - \log_3 \frac{32}{9} + \log_3 8$.
(1) Find the values of $P$ and $Q$, respectively.
(2) If $2^a = 5^b = m$, and $\frac{1}{a} + \frac{1}{b} = Q$, find the value of $m$.

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