Question

square root problem

Answer 1

which is?

Answer 2

the expression \[\sqrt[4]{16x ^{2}y ^{7}?}\] is equivalent to which? 2x^(1/2)y^(7/4) , 4x^(1/2)y^(7/4), 2x^8y^28, or 4x^8y^28.

Answer 3

sorry it took me so long

Answer 4

Use the the fundamental rule with radicals that
(ab)^(1/2) = (a)^(1/2) * (b)^(1/2)

Answer 5

Do you understand radicals?
They are simply used to determine what two (or 4 in this case) identical numbers multiply together to give what is under the radical for example

3^(2) = 9
3*3 = 9
(9)^(1/2) =3

Answer 6

i know but how does that help me find what the equation is equivalent to?

Answer 7

so split up the terms of your problem into
(16)^(1/4) * (x^(2))^(1/4) * (y^(7))^(1/4)
I will solve the first term to show you how to solve this
so we have (16)^(1/4) if you raise 2^(4) you realize you can get 16 so
it simplifies to just 2 so now you are left with

2 * (x^(2))^(1/4) * (y^(7))^(1/4)
Now to solve a variable what times what give y^(7) that will allow it to be simplified (when multiplying numbers with exponents we add the exponents).
so we have
2 * (x^(2))^(1/4) * (y^(4))^(1/4) * (y^(3))^(1/4)

Answer 8

do you know what the next step is?

Answer 9

??

Answer 10

remember the rule that (x^(4))^(1/4) is the same as x^((x/1)(1/4)) = x^(1) = x

Answer 11

um do i i change (x^2)^1/4 into x?

Answer 12

wait apply the rule I just showed you
so

(x^(2))^(1/4) = x^((2/1)(1/4))

Answer 13

you know how to multiply fractions right and that all numbers can be expressed with a 1 in the denominator

Answer 14

and how to simplify fractions right?
(2/4) = (1/2)

Answer 15

ya so um it turns out to be x^1/2?

Answer 16

yup

Answer 17

what is (y^(3))^(1/4) simplified?

Answer 18

2x^1/2 and y^7/4

Answer 19

y^(7/4) can be simplified more you would know that if you read what I posted

Answer 20

you can split up numbers and variables to aid in simplification of them

Answer 21

ya but that is what it looks like as one of the answer choices

Answer 22

oh ok weird sorry for the accusation hope I was helpful

Answer 23

ya u were ty