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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 k \sqrt{k} ?\newlineChoose 11 answer:\newline(A) 1k2 \frac{1}{k^{2}} \newline(B) 1k12 \frac{1}{k^{\frac{1}{2}}} \newline(C) k2 k^{2} \newline(D) k12 k^{\frac{1}{2}}

Full solution

Q. Which exponential expression is equivalent to k \sqrt{k} ?\newlineChoose 11 answer:\newline(A) 1k2 \frac{1}{k^{2}} \newline(B) 1k12 \frac{1}{k^{\frac{1}{2}}} \newline(C) k2 k^{2} \newline(D) k12 k^{\frac{1}{2}}
  1. Identify exponential form: Identify the exponential form of a square root.\newlineThe square root of kk, denoted as k\sqrt{k}, can be written in exponential form as kk raised to the power of 12\frac{1}{2}.
  2. Match with given choices: Match the exponential form with the given choices.\newlineThe exponential form of k\sqrt{k} is k(1/2)k^{(1/2)}, so we need to find this expression among the choices provided.
  3. Eliminate incorrect choices: Eliminate incorrect choices.\newline(A) (1)/(k2)(1)/(k^{2}) is the reciprocal of kk squared, not the square root of kk.\newline(B) (1)/(k(1)/(2))(1)/(k^{(1)/(2)}) is the reciprocal of the square root of kk, not the square root itself.\newline(C) k2k^{2} is kk squared, not the square root of kk.\newline(D) k(1)/(2)k^{(1)/(2)} is the correct exponential form of the square root of kk.
  4. Choose correct answer: Choose the correct answer.\newlineThe correct exponential expression equivalent to k\sqrt{k} is (D) k(12)k^{(\frac{1}{2})}.

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