Question

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

Answer 1

Answer:

$x ^6$

Step-by-step explanation:

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