Answer:
[tex]\frac{xy^{3}}{25}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Required
Simplify the given expression
[tex]\frac{5x^6y^6}{125x^5y^3}[/tex]
Start by applying law of indices
[tex]\frac{5x^{6-5}y^{6-3}}{125}[/tex]
[tex]\frac{5xy^{3}}{125}[/tex]
Divide numerator and denominator by 5
[tex]\frac{xy^{3}}{25}[/tex]
Hence; the expression is equivalent to [tex]\frac{xy^{3}}{25}[/tex]
