Question

What is a simpler form of the radical expression?
4^square root 81x^20 y^8

Answer 1

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

Answer 2

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

Answer 3

yeah haha you're faster than me

Answer 4

this is a lot easier than you think probably
how many times does 4 go in to 20?

Answer 5

5

Answer 6

right and so
\[\sqrt[4]{x^{20}}=x^5\]

Answer 7

using the same reasoning, what do you think
\[\sqrt[4]{y^8}\]is ?

Answer 8

2

Answer 9

well actually \(y^2\) but you get the idea

Answer 10

and all that is left to do is find \(\sqrt[4]{81}\) make a guess

Answer 11

hint, it has to be small, since when you multiply it by itself 4 times you get 81

Answer 12

9

Answer 13

nope too big
it is true that \(9^2=81\) but \(9^4=81\times 81\) go smaller

Answer 14

3

Answer 15

right

Answer 16

\[3^4=3\times 3\times 3\times 3=9\times 9=81\]

Answer 17

3[x^5]y^2

Answer 18

is that the answer?

Answer 19

final answer: \[\sqrt[4]{81x^{20}y^8}=3x^5y^2\]the radical is gone

Answer 20

yes, you don't need the parentheses though, just write them next to each other

Answer 21

Thank you very much!

Answer 22

yw
wasn't even that hard was it?

Answer 23

no

Answer 24

Sorry computer froze again, thank you again @satellite73