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Which exponential expression is equivalent to 
root(4)(x) ?
Choose 1 answer:
(A) 
(1)/(x^(4))
(B) 
(1)/(x^((1)/(4)))
(c) 
x^((1)/(4))
(D) 
x^(4)

Which exponential expression is equivalent to x4 \sqrt[4]{x} ?\newlineChoose 11 answer:\newline(A) 1x4 \frac{1}{x^{4}} \newline(B) 1x14 \frac{1}{x^{\frac{1}{4}}} \newline(C) x14 x^{\frac{1}{4}} \newline(D) x4 x^{4}

Full solution

Q. Which exponential expression is equivalent to x4 \sqrt[4]{x} ?\newlineChoose 11 answer:\newline(A) 1x4 \frac{1}{x^{4}} \newline(B) 1x14 \frac{1}{x^{\frac{1}{4}}} \newline(C) x14 x^{\frac{1}{4}} \newline(D) x4 x^{4}
  1. Understanding the fourth root of xx: Understand the meaning of the fourth root of xx. The fourth root of xx, denoted as x4\sqrt[4]{x}, means a number which when raised to the power of 44 gives xx. This can be expressed as an exponent by raising xx to the power of 14\frac{1}{4}.
  2. Converting the fourth root into an exponential expression: Convert the fourth root into an exponential expression.\newlineThe fourth root of xx is equivalent to xx raised to the power of 14\frac{1}{4}, which is written as x(14)x^{(\frac{1}{4})}.
  3. Matching the correct answer: Match the correct answer from the given choices.\newlineThe expression x1/4x^{1/4} matches with choice (C) x(14)x^{\left(\frac{1}{4}\right)}.

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