Question

Can you please answer the question below it is attached below. Thank you

Answer 1

Rewrite the roots as fraction powers:

$\sqrt{5}= 5^{\frac{1}{2} }$

$\sqrt[3]{5}=5^{\frac{1}{3} }$

When you multiply, you add the powers.

$5^{\frac{1}{2} } \times 5^{\frac{1}{3} }= 5^{\frac{1}{2}+\frac{1}{3}  } =5^{\frac{5}{6} }$

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Answer:

Option 1: $5^{\frac{5}{6} }$