Solve the equation with radicals $x^9+x^6+x^3+1=\left(x^3\right)^3+\left(x^3\right)^2+\left(x^3\right)^1+1$

Learn how to solve equations problems step by step online. Solve the equation with radicals x^9+x^6x^3+1=x^3^3+x^3^2x^3^1+1. Any expression to the power of 1 is equal to that same expression. Simplify \left(x^3\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 3. Simplify \left(x^3\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.