Question

The simplified expression

Answer 1

`5x^2 y^2`

Explanation:

We need to use the properties shown below to solve this:

1.
`\sqrt[n]{x^a} =x^{(a)/(n)}`

2.
`√(x)√(x)  =x`

3.
`√(x) √(y)=√(x*y)`

Area of a triangle is given by 1/2 * base * height, so we do that and simplify:

`A=(1)/(2)(√(5x^3) )(2√(5xy^4) )\\A=(1)/(2)(5x^3)^{(1)/(2)}*2*(5xy^4)^{(1)/(2)}\\A=√(5)x^{(3)/(2)}*√(5)√(x) }  y^2\\A=√(5) √(5)x^{(3)/(2)} x^{(1)/(2)}y^2\\A=5*x^2y^2\\A=5x^2 y^2`