Respuesta :

smmwaite
Answer
The value under the radical is 3

Explanation
9^(2/3) This means 9 squared then find find the cube root of the answer.

9^(2/3)=∛(9^2 )
= ∛81 
= ∛(3×3×3×3) = ∛(3)³ ₓ ∛3
= 3∛3
The value under the radical is 3

I hope this now shows clearly the number under the radical is 3. 

Answer:

The value remains under the radical is 3

Step-by-step explanation:

Given the expression [tex]9^{\frac{2}{3}}[/tex]

We have to find the value remains under the radical.

[tex]9^{\frac{2}{3}}[/tex]

It can be written as [tex]\sqrt[3]{9^2}[/tex]

⇒ [tex]\sqrt[3]{81}[/tex]

⇒ [tex]\sqrt[3]{3\times 3\times 3\times 3}[/tex]

⇒ [tex]3\sqrt[3]{3}[/tex]

Hence, the value remains under the radical is 3

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