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Which exponential expression is equivalent to 
root(3)(a) ?
Choose 1 answer:
(A) 
(1)/(a^(3))
(B) 
a^(3)
(c) 
a^((1)/(3))
(D) 
(1)/(a^((1)/(3)))

Which exponential expression is equivalent to a3 \sqrt[3]{a} ?\newlineChoose 11 answer:\newline(A) 1a3 \frac{1}{a^{3}} \newline(B) a3 a^{3} \newline(C) a13 a^{\frac{1}{3}} \newline(D) 1a13 \frac{1}{a^{\frac{1}{3}}}

Full solution

Q. Which exponential expression is equivalent to a3 \sqrt[3]{a} ?\newlineChoose 11 answer:\newline(A) 1a3 \frac{1}{a^{3}} \newline(B) a3 a^{3} \newline(C) a13 a^{\frac{1}{3}} \newline(D) 1a13 \frac{1}{a^{\frac{1}{3}}}
  1. Understanding the Cube Root: Understand the meaning of the cube root.\newlineThe cube root of a number 'aa' is the number that, when multiplied by itself three times, gives the number 'aa'. This is written as a3\sqrt[3]{a} or a3\sqrt[3]{a}.
  2. Expressing the Cube Root in Exponential Form: Express the cube root in exponential form.\newlineThe cube root of aa can be expressed as aa raised to the power of 13\frac{1}{3}, because taking the cube root is the inverse operation of cubing a number.
  3. Matching Exponential Form with Choices: Match the exponential form with the given choices.\newlineThe exponential form of the cube root of aa is a1/3a^{1/3}, which corresponds to choice (C).

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