Answer:
4/t
Explanation:
Given the rational expression:
[tex]\frac{8t}{2t^2}[/tex]We can rewrite it as:
[tex]\begin{gathered} =\frac{8}{2}\times\frac{t}{t^2} \\ =4\times\frac{t}{t^2} \end{gathered}[/tex]Next, apply the law of exponent-division.
[tex]\begin{gathered} =4\times t^{1-2} \\ =4\times t^{-1} \\ =4\times\frac{1}{t} \\ =\frac{4}{t} \end{gathered}[/tex]The simplified form of the expression is 4/t.
