Write the equation equivalent to [tex](\sqrt{a-2} )^5[/tex]


A) [tex](a-2) \frac{2}{5}[/tex]
B) [tex](a-2)\frac{5}{1}[/tex]
C) [tex](a-2)\frac{1}{5}[/tex]
D) [tex](a-2)\frac{5}{2}[/tex]

Respuesta :

[tex]\mathsf{Given : (\sqrt{a - 2})^5}\\\\\mathsf{\implies [(a - 2)^\frac{1}{2}]^5}\\\\\mathsf{\implies (a - 2)^\frac{5}{2}}\\ \\\mathsf{\implies Option\;(D)\;is\;the\;Answer}[/tex]