Simplify $\left(\sqrt[6]{15a^3x}\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{6}$ and $n$ equals $2$

Applicare la formula: $\left(ab\right)^n$$=a^nb^n$

Applicare la formula: $x^mx^n$$=x^{\left(m+n\right)}$, dove $x=a$, $m=\frac{1}{2}$ e $n=\frac{2}{3}$

Applicare la formula: $x\cdot x^n$$=x^{\left(n+1\right)}$, dove $x^nx=\sqrt[3]{15}\sqrt{2}\sqrt[3]{3}a\sqrt[3]{x}\sqrt[6]{a^{7}}b$, $x=a$, $x^n=\sqrt[6]{a^{7}}$ e $n=\frac{7}{6}$