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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 $\sqrt[4]{x}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{x^{4}}$ $\newline$ (B) $\frac{1}{x^{\frac{1}{4}}}$ $\newline$ (C) $x^{\frac{1}{4}}$ $\newline$ (D) $x^{4}$

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Identify equivalent linear expressions

Full solution

Q. Which exponential expression is equivalent to

\sqrt[4]{x}

?

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{x^{4}}

\newline

(B)

\frac{1}{x^{\frac{1}{4}}}

\newline

(C)

x^{\frac{1}{4}}

\newline

(D)

x^{4}

Understanding the fourth root of $x$ : Understand the meaning of the fourth root of $x$ . The fourth root of $x$ , denoted as $\sqrt[4]{x}$ , means a number which when raised to the power of $4$ gives $x$ . This can be expressed as an exponent by raising $x$ to the power of $\frac{1}{4}$ .
Converting the fourth root into an exponential expression: Convert the fourth root into an exponential expression. $\newline$ The fourth root of $x$ is equivalent to $x$ raised to the power of $\frac{1}{4}$ , which is written as $x^{(\frac{1}{4})}$ .
Matching the correct answer: Match the correct answer from the given choices. $\newline$ The expression $x^{1/4}$ matches with choice (C) $x^{\left(\frac{1}{4}\right)}$ .

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