Find the simplified product. it’s in the attached and explain it. i tried to solve this multiple times and i don’t get it right

3x³y √(5xy)

Step-by-step explanation:

√(3x⁴y) √(15x³y²)

Multiply the radicands.  When multiplying, add the exponents (xᵃ xᵇ = xᵃ⁺ᵇ).

√(45x⁴⁺³y¹⁺²)

√(45x⁷y³)

To simplify further, we need to factor out perfect squares (anything with an even exponent).

√(3²·5 x⁶x y²y)

√(3²x⁶y²) √(5xy)

Take the square root of the perfect square (halve the exponent).

3x³y √(5xy)

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

4+4+2x

or

2x+8

step-by-step explanation: