Mathematics

Problem

Which of the following radical expressions is equivalent to

2a^{5/3}

? a)

6\sqrt[3]{a^{5}}

2\sqrt[3]{a^{5}}

2\sqrt[3]{a}

2\sqrt[5]{a^{3}}

Intuitive explanation

The key is recognizing that fractional exponents are just another way to write roots and powers combined. Here, the denominator 3 tells you to take a cube root, and the numerator 5 tells you the power inside—so $a^{5/3} = \sqrt[3]{a^5}$ . Your job is to rewrite $2a^{5/3}$ using radical notation and match it to one of the choices.

Intuitive explanation

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