According to the question, the given expression is written as below:
The expression is : [tex](\frac{2x^{4} }{10y^{-2} } )(\frac{5y^{3} }{4x^{3} } )[/tex]
Using indices concept, the same variables get cancelled with each other. The divisible numbers get divided by their respective numbers.
And finally, the negative power becomes positive in numerator. Using these concepts the above expression can be re-written as:
Final expression: [tex]\frac{xy^{5} }{y4} =xy[/tex]
Hence, the evaluated expression is [tex]xy[/tex].
What is indices?
In mathematics, the indices are the power or the exponent which is either raised to numbers or variables.
To learn more about the indices from the given link:
https://brainly.com/question/11116645
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