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Which exponential expression is equivalent to
sqrtk ?
Choose 1 answer:
(A)
(1)/(k^(2))
(B)
(1)/(k^((1)/(2)))
(C)
k^(2)
(D)
k^((1)/(2))

Which exponential expression is equivalent to $\sqrt{k}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{k^{2}}$ $\newline$ (B) $\frac{1}{k^{\frac{1}{2}}}$ $\newline$ (C) $k^{2}$ $\newline$ (D) $k^{\frac{1}{2}}$

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Multiplication with rational exponents

Full solution

Q. Which exponential expression is equivalent to

\sqrt{k}

?

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{k^{2}}

\newline

(B)

\frac{1}{k^{\frac{1}{2}}}

\newline

(C)

k^{2}

\newline

(D)

k^{\frac{1}{2}}

Understand the problem: Understand the problem. $\newline$ We need to find the exponential expression equivalent to the square root of $k$ , which is written as $\sqrt{k}$ .
Express in exponential form: Express the square root in exponential form. $\newline$ The square root of a number can be expressed as that number raised to the power of $\frac{1}{2}$ . Therefore, $\sqrt{k}$ is equivalent to $k^{\frac{1}{2}}$ .
Match with given options: Match the expression with the given options. $\newline$ We compare $k^{1/2}$ with the given options to find the equivalent expression. $\newline$ (A) $(1)/(k^{2})$ is not equivalent because it represents the reciprocal of $k$ squared. $\newline$ (B) $(1)/(k^{(1)/(2)})$ is not equivalent because it represents the reciprocal of the square root of $k$ . $\newline$ (C) $k^{2}$ is not equivalent because it represents $k$ squared. $\newline$ (D) $k^{(1)/(2)}$ is equivalent because it represents the square root of $k$ .
Choose correct answer: Choose the correct answer. $\newline$ The correct answer is (D) $k^{(\frac{1}{2})}$ , which is equivalent to $\sqrt{k}$ .

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