Answer:
- numerator: 4
- denominator: 5y
Step-by-step explanation:
You want the simplified form of (8x²y²)/(10x²y³).
Cancel common factors
A rational expression is simplified by cancelling common factors from numerator and denominator. When exponents are involved, the rules of exponents apply. (It can be helpful to think of an exponent as telling you how many times the factor is replicated.)
[tex]\dfrac{8x^2y^2}{10x^2y^3}=\dfrac{8}{10}\cdot\dfrac{x^2}{x^2}\cdot\dfrac{y^2}{y^3}=\dfrac{4}{5}\cdot 1\cdot\dfrac{1}{y}=\boxed{\dfrac{4}{5y}}[/tex]
The numerator is 4.
The denominator is 5y.
