Question

What is the value of the exponential expression 36 1/2

Answer 1

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.

Answer 2

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:
 $36^{ \frac{1}{2}}=6$