Question

How do you simplify `sqrt(49x^5y^6)`?

Answer 1

You just need to remember some exponenential rules:

• `a^(n/m)=root(m)(a^n)`

• `root(n)a*root(n)b=root(n)(a*b)`

• `a^n*a^m=a^(n+m)`

• `(a^n)^m=a^(n*m)`

Thus

`sqrt(7*7*x*x*x*x*x*y*y*y*y*y*y)`

`sqrt(7^2*(x^2)^2*x*(y^3)^2)`

`7x^2y^3sqrt(x)`