$$(a^{3}$/4a)^{1/2}$
You asked:
Evaluate the expression: \({\left( \frac{{a}^{3}}{4 a} \right)}^{\frac{1}{2}}\)
MathBot Answer:
\[{\left( \frac{{a}^{3}}{4 a} \right)}^{\frac{1}{2}} = \frac{\sqrt{a^{2}}}{2}\]
If the variable\(a\) is real, then: \[\frac{\sqrt{a^{2}}}{2} = \frac{\left|{a}\right|}{2}\]