Final answer to the problem
Step-by-step Solution
Learn how to solve radical expressions problems step by step online. Simplify the expression with radicals 2^(1/2)^(1/2)^(1/2)^(1/2)^48. Simplify \left(\sqrt{\sqrt{\sqrt{\sqrt{2}}}}\right)^{48} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 48. Simplify \left(\sqrt{\sqrt{\sqrt{2}}}\right)^{24} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 24. Simplify \left(\sqrt{\sqrt{2}}\right)^{12} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 12. Simplify \left(\sqrt{2}\right)^{6} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 6.