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Evaluate the expression [8]638.

Mathematics

ScanSolve AI Answer

Answer

63\text{63}

Step-by-step solution

3 steps
  1. Rewrite the expression using fractional exponents.

    The nn-th root of xmx^m can be written as xm/nx^{m/n}. In this case, n=8n=8 and m=8m=8.

    6388=6388\sqrt[8]{63^8} = 63^{\frac{8}{8}}
  2. Simplify the exponent.

    6388=63163^{\frac{8}{8}} = 63^1
  3. Evaluate the expression.

    631=6363^1 = 63

    The evaluated expression is:

    63\text{63}
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