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The value of \(5^{\frac{1}{4}}\times(125)^{0.25}\) is:

  • A.square root 5
  • B.5 square root 5
  • C.5
  • D.25

Answer: C

Write both factors as powers of 5.

\[ 125^{0.25} = (5^{3})^{1/4} = 5^{3/4} \]

\[ 5^{1/4} \times 5^{3/4} = 5^{1} = 5 \]

Exponents add when the bases match.

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