The resolution of this exercise $(2\sqrt{x})*(5\sqrt[3]{x})$ is 10x. But I can't understand the steps to reach that result, since when I try to solve it, I get to:
- $(2\sqrt{x})\cdot(5\sqrt[3]{x})$
- $5 \cdot 2$
- $(\sqrt{x}) = x ^ \frac{1}{2}$ and $(\sqrt[3]{x}) = x ^ \frac{1}{3}$
- $x ^ \frac{1}{2} \cdot x ^ \frac{1}{3} = x ^ \frac{5}{6}$
- $ 10x ^ \frac{5}{6} $
I would like to know how it is resolved
It is $$10x^{1/2}\times x^{1/3}=10x^{1/2+1/3}=10x^{\frac{3+2}{6}}=10x^{5/6}$$