Question

Simplify .(x^5/x^2)^2 Explain your steps.

Answer 1

`x ^6`

Explanation:

`\huge\bigg( \frac{ {x}^(5) }{ {x}^(2) } \bigg)^(2) \\ \\ \huge = ( {x}^(5 - 2) ) ^(2) \\ \\ \huge = ( {x}^(3) )^(2) \\ \\ \huge = {x}^(3 * 2) \\ \\ \huge = {x}^(6) \\ \\ \huge \boxed{ \red{ \therefore \: \bigg( \frac{ {x}^(5) }{ {x}^(2) } \bigg)^(2)} \pink{ = } \purple{ {x}^(6) }}`