Question

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

Answer 1

Answer:

A) 20y - 4

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

Answer 2

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:

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

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