Question

Write the equation equivalent to {a-2} )^5" alt="(\sqrt{a-2} )^5" align="absmiddle" class="latex-formula">
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

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