Final answer:
To simplify the complex fraction ((25z²x⁸)/(9))/((75x³z⁶)/(21)), we can use the steps of inverting and multiplying fractions, dividing by the GCF, and simplifying the expression.
Step-by-step explanation:
To simplify the complex fraction, we can follow these steps:
- Invert the second fraction and multiply it with the first fraction.
- Divide the numerator and denominator of the resulting fraction by their greatest common factor (GCF).
- Simplify the resulting expression.
Using these steps, we can simplify ((25z²x⁸)/(9))/((75x³z⁶)/(21)) to (7x⁵)/(3z⁴).
Learn more about Simplifying complex fractions