The expression which is equivalent to Start Fraction 5 y cubed Over (5 y) Superscript negative 2 Baseline End Fraction is
[tex]125y^5[/tex]
Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
To find the equivalent expression, simplify the provided function using the mathematical operations.
The given algebraic expression is,
[tex]\dfrac{5y^3}{(5y^{-2})}[/tex]
Suppose the equivalent expression of this fraction is n. Thus,
[tex]n=\dfrac{5y^3}{(5y^{-2})}\\\\n=\dfrac{5y^3}{((5)^{-2}y^{-2})}\\[/tex]
In the division the power of the same number is subtracted. Therefore,
[tex]n=(5)^{1-(-2)}(y)^{3-(-2)}\\n=5^3\times y^5\\n=125y^5[/tex]
Hence, the expression which is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction is
[tex]125y^5[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
The answer is D.
Step-by-step explanation:
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