
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
Calculate the following:
$(1)\sqrt{2 \frac{1}{4}} - (-0.96)^0 - \left(3 \frac{3}{8}\right)^{-\frac{2}{3}} + (1.5)^{-2};$
$(2)$ If $10^x=3$ and $10^y=4$, find the value of $10^{2x-y}$.

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