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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 $48$
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$\left(\sqrt{\sqrt{\sqrt{2}}}\right)^{24}$
Learn how to solve 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.
