Could someone just double check my work

Question

sqrt280x^6/sqrt7x
I got 2x^3 sqrt10\sqrtx

Also 1/5(30y+40)+2/3(9y-27)=18
I got 7/3

Answer 1

Both answers is correct but you can simplify answer 1.

sqrt ( 280 x ^ 6 ) / sqrt ( 7 x ) =

sqrt ( 280 x ^ 6 / 7 x ) =

sqrt [ ( 280 / 7 ) * x ^ 6 / x ] =

sqrt ( 40 * x ^ 5 ) =

sqrt ( 40 ) * sqrt ( x ^ 5 ) =

sqrt ( 4 * 10 ) * sqrt ( x ^ 5 ) =

sqrt ( 4 ) * sqrt ( 10 ) * sqrt ( x ^ 5 ) =

2 * sqrt ( 10 ) * sqrt ( x ^ 5 ) =

2 * sqrt ( 10 ) * x ^ ( 5 / 2 )

Answer 2

If you'll allow one more step,

2x^2 sqrt(10x)

Answer 3

1. 2x sqrt(10x^3)
2. 7/3

Answer 4

By the way, 2x^3 sqrt(10/x) is also correct. So, good work, I think.