anonymous
  • anonymous
What is a simpler form of the radical expression?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1358117374152:dw|
anonymous
  • anonymous
@Butterfly16
anonymous
  • anonymous
some pls help

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anonymous
  • anonymous
@loveudrew123
anonymous
  • anonymous
Simplify the x^12 and y^16 first
anonymous
  • anonymous
Remember:\[(x^a)^b x^{a• b}\]
anonymous
  • anonymous
do i just simplify the exponents?
anonymous
  • anonymous
We're simplifying them first, cause it's easier haha, we'll move on to the 240 after you simplify the exponents
anonymous
  • anonymous
2901*
anonymous
  • anonymous
so how do i simplify them?
anonymous
  • anonymous
Well since, \[(x^a)^b = x^{a•b}\] divide x^12 and y^16 by 4. What do you get?
anonymous
  • anonymous
(I mean the powers of x and y)
anonymous
  • anonymous
x^2 x^4
anonymous
  • anonymous
Wait, but 12/4 = 3, not 2. Also, it would be y^4
anonymous
  • anonymous
But moving on, now we simplify \[\sqrt[4]{2901}\] Do you have any idea on how to do this? (just asking)
anonymous
  • anonymous
no lol, but i really appreciate u teaching me
anonymous
  • anonymous
No problem, I'm glad to help :) Well, first, we need to find a factor of 2901 that is a power of 4. (ex. 16, because 2^4 = 16)
anonymous
  • anonymous
how do we do that lol
anonymous
  • anonymous
Here's a list of em: \[2^4 = 16\] \[3^4 = 81\] \[4^4 = 256\] \[5^4 = 625\] \[6^4 = 1296\] Are any of these numbers factors of 2901?
anonymous
  • anonymous
no i get dec. for all of them
anonymous
  • anonymous
The number in the problem is 2901, right?
anonymous
  • anonymous
Or is it 2401?
anonymous
  • anonymous
because, \[7^4 = 2401\]
anonymous
  • anonymous
2401 sorry(:
anonymous
  • anonymous
@nooce
anonymous
  • anonymous
Alright, since we know 2401 = 7^4, we can take that out of the radical :) So we get, \[\sqrt[4]{2401x^{12}y^{16}} = 7x^3y^4\] Do you get it? :D
anonymous
  • anonymous
yes thankyou!

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