Let's rewrite the expression [tex]\( 10^{-6} \cdot 10^5 \cdot 10^1 \)[/tex] using each base only once and determine its equivalent single power of 10.
When you multiply powers of the same base, you add their exponents. Therefore, we will add the exponents in the given expression:
[tex]\[
10^{-6} \cdot 10^5 \cdot 10^1 = 10^{-6 + 5 + 1}
\][/tex]
Now, let's simplify the exponent:
[tex]\[
-6 + 5 + 1 = -6 + 6 = 0
\][/tex]
So, the expression simplifies to:
[tex]\[
10^0
\][/tex]
According to the properties of exponents, any non-zero number raised to the power of 0 is equal to 1:
[tex]\[
10^0 = 1
\][/tex]
Therefore, the simplified value of [tex]\( 10^{-6} \cdot 10^5 \cdot 10^1 \)[/tex] is [tex]\( \boxed{1} \)[/tex]. Thus, the correct answer is C.
