Verified Answer :

carlosego

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

Answer:

The value of the given exponential expression \(36^{\frac{1}{2}}\:\) is 6.

Step-by-step explanation:

Given: the exponential expression \(36^{\frac{1}{2}}\:\)

We have to find the value of the given exponential expression \(36^{\frac{1}{2}}\:\)

Consider the given exponential expression \(36^{\frac{1}{2}}\:\)

We know \(\sqrt{x}=x^{\frac{1}{2}}\)

Thus, \(36^{\frac{1}{2}}=\sqrt{36}\)

Factor the number 36 as \(36=6^2\)

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

we have,

\(\sqrt{6^2}=6\)

Thus, the value of the given exponential expression \(36^{\frac{1}{2}}\:\) is 6.

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