The term independent of x in the expansion of (-x^3/x)^4 is 1 because any non-zero number raised to the fourth power is 1.
A variable that indicates a quantity being altered in an experiment is known as an independent variable. x is frequently used as the symbol for the independent variable in equations.
The expression ([tex]\frac{-x^3}{x}[/tex]) can be simplified to [tex]-x^2[/tex]. When we raise this expression to the fourth power, we get [tex](-x^2)^4= x^8[/tex] . However, the term [tex]x^8[/tex] is not independent of x, because it includes the variable x.
On the other hand, the term 1 is independent of x, because it does not include the variable x. Therefore, the term independent of x in the expansion of [tex](\frac{-x^3}{x})^4[/tex] is 1.
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