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Leviafan [203]
3 years ago
11

Simplify the radical expression 4 square root 81x^20y^8

Mathematics
2 answers:
vekshin13 years ago
7 0

Answer:

A) 20y - 4

Step-by-step explanation: i took test and got it right so trust me

Dimas [21]3 years ago
4 0

The simplified expression is 3x^5 y^2

Step-by-step explanation:

The radical expression to simplify is

\sqrt[4]{81x^{20}y^8}

We notice the following:

81=3^4

And using the property

(x^a)^b=x^{a\cdot b}

we can write:

x^{20}=(x^5)^4

y^8 = (y^2)^4

So the argument of the radical can be written as

\sqrt[4]{(3)^4(x^5)^4(y^2)^4} =\sqrt[4]{(3x^5y^2)^4}

And now by using the property

\sqrt[n]{a^n}=a

We find:

\sqrt[4]{(3x^5y^2)^4}=3x^5 y^2

Learn more about simplification of expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

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Explanation:

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