
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 functions $f(x)=a^{x}$ and $g(x)=\log_{a}x$, where $a>1$, and $h(x)=\frac{{x}^{a}}{f(x)}$ for $x>0$.
$(1)$ When $a=2$, find the monotonic interval of $h(x)$.
$(2)$ If the curve $y=h(x)$ intersects the line $y=1$ at exactly two points, find the range of values for $a$.

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