Final answer:
To simplify the expression -2ab²b⁴/4ab⁻⁸, cancel out the common factors 'a' and 'b' in the numerator and denominator. The resulting expression is -b^6/2.
Step-by-step explanation:
To simplify the expression -2ab²b⁴/4ab⁻⁸, we can cancel out the common factors between the numerator and denominator. We can see that the common factors are 'a' and 'b'. By canceling out these common factors, we get:
-2ab²b⁴/4ab⁻⁸ = -2a^(1-1)b^(2+4)/4 = -a^(0)b^6/2 = -b^6/2.
Therefore, when a = 0 and b = 0, the expression evaluates to -b^6/2, where b can be any real number.
Learn more about Simplifying expressions