Question

Please help!

Answer 1

Option 3: $2^{\frac{5}{6}}$ is the right answer

Step-by-step explanation:

Given expression is:

$(\sqrt{2})(\sqrt[3]{2} )$

In order to simplify the expression we have to convert the radicals in exponents

$2^{\frac{1}{2}} . 2^{\frac{1}{3}}$

As he base is same, the powers can be added

$=2^{\frac{3+2}{6}}\\=2^{\frac{5}{6}}$

Hence,

Option 3: $2^{\frac{5}{6}}$ is the right answer

Keywords: Exponents, radicals

Learn more about exponents at:

• brainly.com/question/4771355
• brainly.com/question/4786449

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