The simplified expression is [tex]3x^5 y^2[/tex]
Step-by-step explanation:
The radical expression to simplify is
[tex]\sqrt[4]{81x^{20}y^8}[/tex]
We notice the following:
[tex]81=3^4[/tex]
And using the property
[tex](x^a)^b=x^{a\cdot b}[/tex]
we can write:
[tex]x^{20}=(x^5)^4[/tex]
[tex]y^8 = (y^2)^4[/tex]
So the argument of the radical can be written as
[tex]\sqrt[4]{(3)^4(x^5)^4(y^2)^4} =\sqrt[4]{(3x^5y^2)^4}[/tex]
And now by using the property
[tex]\sqrt[n]{a^n}=a[/tex]
We find:
[tex]\sqrt[4]{(3x^5y^2)^4}=3x^5 y^2[/tex]
Learn more about simplification of expressions:
brainly.com/question/7014769
brainly.com/question/11007572
brainly.com/question/11334714
#LearnwithBrainly
Answer:
A) 20y - 4
Step-by-step explanation: i took test and got it right so trust me
