Answer:
2∛3 which is the second choice
Explanation:
before we begin, remember the following:
√xy = √x * √y
(xy)ᵃ = xᵃ * yᵃ
∛x = x^(1/3)
Now, for the given, we have:
[tex]24^ \frac{1}{3} [/tex]
24 can be rewritten as 8 * 3
Therefore, the given is now:
[tex](8*3)^ \frac{1}{3} [/tex]
Distributing the power:
[tex]8^ \frac{1}{3} * 3^ \frac{1}{3} [/tex]
We know that:
∛8 = 2
Therefore, the simplest form of the given would be:
[tex]8^ \frac{1}{3} * 3^ \frac{1}{3} [/tex]
2 * [tex]3^ \frac{1}{3} [/tex]
2∛3
Hope this helps :)
