Question

Write the equation equivalent to $(\sqrt{a-2} )^5$


A) $(a-2) \frac{2}{5}$
B) $(a-2)\frac{5}{1}$
C) $(a-2)\frac{1}{5}$
D) $(a-2)\frac{5}{2}$

Answer 1

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