Question

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Explanation:

Step1: Apply exponent product rule

When multiplying exponents with the same base, add the exponents: $a^m \cdot a^n = a^{m+n}$.
$2^{-4} \cdot 2^{4} = 2^{-4+4}$

Step2: Simplify the exponent

Calculate the sum of the exponents.
$2^{-4+4} = 2^{0}$

Step3: Apply zero exponent rule

Any non-zero number to the power of 0 is 1: $a^0 = 1$ (where $a
eq 0$).
$2^{0} = 1$

Answer:

1