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Answer:
Both are equal to [tex]\frac{1}{16}[/tex]
Step-by-step explanation:
If the exponent is negative we can turn it into a fraction and make it positive.
This means the number goes to the denominator and the numerator becomes one. Therefore the following.
[tex]4^{-2} = \frac{1}{4^{2} } =\frac{1}{16}[/tex]
[tex]2^{-4} =\frac{1}{2^{4} } = \frac{1}{16}[/tex]