Evaluate 1/2a^-4b^2 for a = -2 and b=4

1/2

Step-by-step explanation:

Put the numbers where the corresponding variables are and do the arithmetic.

1/2 (-2) ^ (-4) · (4) ^2 = 1/2 (4^2 / (-2) ^4) = 1/2 (16/16) = 1/2

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We used the rule of exponents ...

a^-b = 1 / (a^b)