Question

!!!!HELP!!!

Answer 1

The equivalent expressions of ∛8 = 8^1/3 are (2 * 2 * 2)^1/3 and 2^(1/3 + 1/3 + 1/3)

How to determine the equivalent expressions?

The expressions are given as:

∛8 = 8^1/3

Express 8 as the cube of 2

So, we have:

8 = 2^3

Substitute 8 = 2^3 in the equation ∛8 = 8^1/3

∛2^3 = (2*3)^1/3

Rewrite as:

∛2^3 = 2^(1/3 + 1/3 + 1/3)

Also, rewrite as:

(2 * 2 * 2)^1/3 = 2^(1/3 + 1/3 + 1/3)

Hence, the equivalent expressions of ∛8 = 8^1/3 are (2 * 2 * 2)^1/3 and 2^(1/3 + 1/3 + 1/3)

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