Question

How do you simplify (9x^8 y^3)^1/2

Answer 1

`\left(9x^8y^3\right)^(1)/(2)=\left(3^2x^8y^3\right)^(1)/(2)=\left(3^2\right)^(1)/(2)\cdot\left(x^8\right)^(1)/(2)\cdot\left(y^3\right)^(1)/(2)\\\\=3^{2\cdot(1)/(2)}\cdot x^{8\cdot(1)/(2)}\cdot y^{3\cdot(1)/(2)}=3^1\cdot x^4\cdot y^(3)/(2)=3x^4\cdot y^{1(1)/(2)}\\\\=3x^4\cdot y^{1+(1)/(2)}=3x^4\cdot y^1\cdot y^(1)/(2)=3x^4y√(y)`