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Answer:
6
Step-by-step explanation:
Given: [tex]36^{1/2}[/tex]
Here we can write 36 = 6 * 6 = [tex]6^{2}[/tex]
[Using the product rule: [tex]a^{m} *a^{n} = a^{m+n}[/tex]
[tex]36^{1/2} = (6^{2} )[/tex]^1/2
Now we have to use power rule: [tex](a^{m} )^n = a^{mn}[/tex]
Applying the above rule, we get
= [tex]6^{(2*1/2)}[/tex]
= [tex]6^{2/2}[/tex]
= 6
Therefore, the answer is 6.