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To simplify the expression \(2^{-7} \cdot 2 \cdot 2^{-4}\), we can use the property of exponents which states that when multiplying numbers with the same base, you add their exponents.
Let's rewrite \(2\) as \(2^1\):
\[
2^{-7} \cdot 2^1 \cdot 2^{-4}
\]
Now we can add the exponents:
\[
-7 + 1 - 4 = -10
\]
So, we have:
\[
2^{-10}
\]
Now, to express this with positive exponents, we use the property that \(a^{-n} = \frac{1}{a^n}\):
\[
2^{-10} = \frac{1}{2^{10}}
\]
Thus, the fully simplified form of the expression \(2^{-7} \cdot 2 \cdot 2^{-4}\) in exponential form with positive exponents is:
\[
\frac{1}{2^{10}}
\]