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Use the laws to re-write the following expression as a power of 
x :

sqrt(xsqrt(xsqrt(xsqrtx)))

Use the laws to re-write the following expression as a power of xx :\newlinexxxx\sqrt{x\sqrt{x\sqrt{x\sqrt{x}}}}

Full solution

Q. Use the laws to re-write the following expression as a power of xx :\newlinexxxx\sqrt{x\sqrt{x\sqrt{x\sqrt{x}}}}
  1. Recognize nested square roots: Simplify the expression by recognizing the pattern of nested square roots and powers of xx.
  2. Apply power of a power rule: Apply the power of a power rule (am)n=amn(a^{m})^{n} = a^{m*n} to simplify further.
  3. Continue simplifying: Continue applying the power of a power rule.