Respuesta :

Answer:

[tex]\frac{1}{\sqrt{2x} }[/tex]

Step-by-step explanation:

a negative exponent means that the term is turned into the denominator of a fraction if you want to remove the negative

so we know that it is 1/(2x)^1/2

the numerator of the exponent is 1, so it does not change the number and we do not have to write it in

but the denominator is a 2, meaning we take the square root of the term instead and put it in the denominator place of the fraction.

msm555

Answer:

[tex] \dfrac{1}{\sqrt{2x}} [/tex]

Step-by-step explanation:

To convert the expression [tex] (2x)^{-\frac{1}{2}} [/tex] from rational exponent form to radical form, we remember that a negative exponent indicates the reciprocal of the expression raised to the positive power.

So, we rewrite [tex] (2x)^{-\frac{1}{2}} [/tex] as:

[tex] (2x)^{-\frac{1}{2}} = \dfrac{1}{(2x)^{\frac{1}{2}}} [/tex]

Now, [tex] (2x)^{\frac{1}{2}} [/tex] represents the square root of [tex] 2x [/tex].

Thus, the expression becomes:

[tex] (2x)^{-\frac{1}{2}} = \dfrac{1}{\sqrt{2x}} [/tex]

Therefore, the expression [tex] (2x)^{-\frac{1}{2}} [/tex] in radical form is:

[tex] \dfrac{1}{\sqrt{2x}} [/tex]

Otras preguntas