Final answer:
To simplify the fraction (12ᵐ²)/4ᵐ⁻⁴, divide both the numerator and denominator by the greatest common factor (GCF). The simplified form of the fraction is 3ᵐ⁶.
Step-by-step explanation:
To simplify the fraction (12ᵐ²)/4ᵐ⁻⁴, we can divide both the numerator and denominator by the greatest common factor (GCF). In this case, the GCF is 4ᵐ⁻⁴, so dividing both terms by 4ᵐ⁻⁴ gives us (12ᵐ²)/(4ᵐ⁻⁴) = 3ᵐ⁶. Therefore, the fraction in simplest form is 3ᵐ⁶.