Question

Simplify by using radical. Rationalize denominators. la1" title=" 2a^{-1/2} " alt=" 2a^{-1/2} " align="absmiddle" class="latex-formula">

Answer 1

$2a^{- \frac{1}{2} }= \cfrac{2}{a^{ \frac{1}{2} }} = \cfrac{2}{ \sqrt{a} } = \cfrac{2 \sqrt{a} }{a}$

Answer 2

Answer:

$\frac{2\sqrt a}{a}$

Step-by-step explanation:

The given equation is  $2a^{-1/2}$

The exponent rule: $x^{-a}=\frac{1}{x^a}$

Using this rule, we get

$2a^{-1/2}\\\\=\frac{2}{a^1/2}$

We can rewrite this in radical form as

$\frac{2}{\sqrt a}$

Rationalize the denominator by multiplying numerator and denominator by $\sqrt a$

$\frac{2}{\sqrt a}\cdot \frac{\sqrt a}{\sqrt a}$

On simplifying

$\frac{2\sqrt a}{a}$