Final answer:
The simplified form of 2160x⁸/60x² assuming x≠0 is 36x⁶, which corresponds to choice a).
Step-by-step explanation:
To find the simplified form of 2160x⁸/60x² assuming x≠0, we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, 60, and then applying the laws of exponents to the variables.
Dividing 2160 by 60 gives 36, and subtracting the exponent in the denominator from the exponent in the numerator (8 - 2) gives 6, resulting in the simplified expression 36x⁶.
Hence, the correct choice is: a) 36x⁶.