
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 the function $f(x)=a^{x}$ whose graph passes through the point $(2, \frac{1}{4})$, where $a > 0$ and $a \neq 1$,  
(Ⅰ) find the value of $a$;  
(Ⅱ) if the function $g(x)=x^{\frac{4a}{5}}$, solve the inequality $g(2t-1) < g(t+1)$ with respect to $t$.

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