Question

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Answer 1

The equivalent expression is;

`(1)/(x^(19))`

Step-by-step explanation:

Given the expression;

`((x^(-5))^4)/(x^(-1))`

we want to simplify;

`\begin{gathered} ((x^(-5))^4)/(x^(-1)) \\ =(x^(-5)^((4)))/(x^(-1)) \\ =(x^(-20))/(x^(-1)) \end{gathered}`

Applying the rules of exponent;

`\begin{gathered} =(x^(-20))/(x^(-1)) \\ =(1)/(x^(20))*(1)/(x^(-1)) \\ =(1)/(x^(20-1)) \\ =(1)/(x^(19)) \end{gathered}`

Therefore, the equivalent expression is;

`(1)/(x^(19))`