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Help please!!!! I have no clue on how to do exponential functions

Help please!!!! I have no clue on how to do exponential functions-example-1

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For this case, we must find an expression equivalent to:


24 ^ {\frac {1} {3}}

By definition of properties of powers and roots, we have to:


a ^ {\frac {m} {n}} = \sqrt [n] {a ^ m}

So, we can rewrite the given expression as:


\sqrt [3] {24}

We know that:


24 = 8 * 3 = 2 ^ 3 * 3

Substituting:


\sqrt [3] {2 ^ 3 * 3} = 2 ^ \frac {3} {3} * \sqrt [3] {3} = 2 \sqrt [3] {3}

Answer:

Option B

User Sebastian Hagens
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