Using the inverse relation for the cubic root, we conclude that the correct option is the third one.
Why is ∛4 equal to 4^(1/3)?
This is kinda a trivial question, as that is the definition of a root.
Actually, for any root we will have:
[tex]\sqrt[n]{x} = x^{1/n}[/tex]
Now, using the inverse relation, we know that:
(∛x)^3 = x
Then:
(∛4)^3
Now, remember that:
(a^n)^m = a^(n*m)
Using that property, we can write like in option 3.
(4^(1/3))^3 = 4^( (1/3)*3) = 4^1 = 4
Then we can see that:
(∛4)^3 = (4^(1/3))^3
This means that ∛4 = 4^(1/3)
Then the correct option is the third one.
If you want to learn more about exponents:
https://brainly.com/question/11464095
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