Question

Multiply. then in simplest form.

Assume all variables are non-negative.


√x^5 • √x¹⁰

Answer 1

`√(x^5)\cdot \sqrt{x^(10)}\implies \sqrt{x^5\cdot x^(10)}\implies \sqrt{x^(5+10)}\implies \sqrt{x^(15)}\implies \sqrt{x^(14+1)} \\\\\\ \sqrt{x^(14)\cdot x^1}\implies \sqrt{x^(7\cdot 2) x}\implies √((x^7)^2 x)\implies x^7√(x)`