Question

(sqrt 7x^7)(sqrt 14x^9y^9

Answer 1

\[\sqrt{7xy ^{7}}\sqrt{14x ^{9}y ^{9}}\]

Answer 2

(sqrt 7xy^7)(sqrt 14x^9y^9)

so sqrt = to the power of 1/2

so write like that to begin with

Answer 3

(sqrt 7xy^7)(sqrt 14x^9y^9)
= (7^1/2 * x^1/2 * y^7/2 ) times (14^1/2) * x^9/2 * y^9/2)

now add like terms using the law of powers, example:
x^y * x^z = x^(y+z)

Answer 4

(sqrt 7xy^7)(sqrt 14x^9y^9)
= (7^1/2 * x^1/2 * y^7/2 ) times (14^1/2) * x^9/2 * y^9/2)

now (14^1/2) = 2 (7^1/2)
so
(7^1/2 * x^1/2 * y^7/2 ) times (14^1/2) * x^9/2 * y^9/2)
= (7^1/2 * 2 * 7^1/2 * x^1/2 * x^9/2 * y^7/2 * y^9/2)
= 2 (7^1/2 * 7^1/2 * x^1/2 * x^9/2 * y^7/2 * y^9/2)
= 2 [ 7^(1/2 + 1/2) * x^ (1/2 + 9/2) * y^(7/2 + 9/2) ]

are you ok to simplify from here @cronus8992 ?

Answer 5

I keep getting \[7x ^{10}y ^{8}\sqrt{2}\]

Which I know is wrong

Answer 6

ok, 1'm getting
sqrt2 * 7^1 * x^10/2 * y^16/2
= sqrt2 * 7 * x^5 * y^8

Answer 7

I combined them like this

\[\sqrt{(7xy ^{10})(14x^9y^9)}\]

With that I get

\[\sqrt{98x ^{20}y ^{16}}\]

From there I am stuck

Answer 8

shouldnt be x^20

Answer 9

so 98 = 49 * 2
sqrt 98 = sqrt 49 * sqrt 2
= 7 * sqrt 2
if that helps

Answer 10

why would x^10 be wrong? x(x^19) right

Answer 11

x^20 sorry

Answer 12

youve got x^1 * x^9
= x^(1+9)
= x^10

Answer 13

Oh simple mistype thank you so much that actually fixed the problem lol idk why i input 20

Answer 14

cools
u all good then?