Wenden Sie die Formel an: $\left(a+b\right)\left(a+c\right)$$=a^2-b^2$, wobei $a=x^4$, $b=1$, $c=-1$, $a+c=x^4+1$ und $a+b=x^4-1$

Simplify $\sqrt[4]{\left(x^4\right)^2}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $2$ and $n$ equals $\frac{1}{4}$

Simplify $\sqrt{x^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{2}$