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Simplify tve radical expression
Show the steps

Simplify tve radical expression Show the steps-example-1
User Flowera
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1 Answer

4 votes

Answer:

4x²y⁴

Explanation:

We are given:
\sqrt[3}{(8x^3y^9)^2}

Since,
$ \sqrt[3]{a} = a^{(1)/(3)} $.

Therefore, we get:


$ (8x^3y^9)^{(2)/(3)} $

Also, we have:


$ (a^b)^c = a^(b.c) $


$ (2^3)^{(2)/(3)}. (x^3)^{(2)/(3)}. ((y^2)^3)^{(2)/(3)} $


$ 2^2 . x . (y^2)^2 $


$ 4. x. y^4 $ which is the required answer.

User Scott Izu
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