Answer :

carlosego
For this case we have an exponential expression of the form:
 [tex]36^{ \frac{1}{2}}[/tex]
 We can rewrite the exponential expression using power properties.
 We have then:
 [tex] \sqrt{36} [/tex]
 From here, we take the square root of 36.
 We have then:
 [tex] \sqrt{36} = 6[/tex]
 Answer:
 The exponential function is given by:
 [tex]36^{ \frac{1}{2}}=6[/tex]

Answer:

The value of the given exponential expression [tex]36^{\frac{1}{2}}\:[/tex] is 6.

Step-by-step explanation:

Given: the exponential expression [tex]36^{\frac{1}{2}}\:[/tex]

We have to find the value of the given exponential expression [tex]36^{\frac{1}{2}}\:[/tex]

Consider the given exponential expression [tex]36^{\frac{1}{2}}\:[/tex]

We know [tex]\sqrt{x}=x^{\frac{1}{2}}[/tex]

Thus, [tex]36^{\frac{1}{2}}=\sqrt{36}[/tex]

Factor the number 36 as [tex]36=6^2[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

we have,

[tex]\sqrt{6^2}=6[/tex]

Thus, the value of the given exponential expression [tex]36^{\frac{1}{2}}\:[/tex] is 6.

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