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)))

Understanding the Cube Root: Understand the meaning of the cube root. The cube root of a number 'a' is the number that, when multiplied by itself three times, gives the number 'a'. This is written as root(3)(a) or ∛a.Expressing the Cube Root in Exponential Form: Express the cube root in exponential form. The cube root of 'a' can be expressed as a raised to the power of 1/3, because taking the cube root is the inverse operation of cubing a number.Matching Exponential Form with Choices: Match the exponential form with the given choices. The exponential form of the cube root of 'a' is a^(1/3), which corresponds to choice (C).

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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 $\sqrt[3]{a}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{1}{a^{3}}$ $\newline$ (B) $a^{3}$ $\newline$ (C) $a^{\frac{1}{3}}$ $\newline$ (D) $\frac{1}{a^{\frac{1}{3}}}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which exponential expression is equivalent to

\sqrt[3]{a}

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{a^{3}}

\newline

(B)

a^{3}

\newline

(C)

a^{\frac{1}{3}}

\newline

(D)

\frac{1}{a^{\frac{1}{3}}}

Understanding the Cube Root: Understand the meaning of the cube root. $\newline$ The cube root of a number ' $a$ ' is the number that, when multiplied by itself three times, gives the number ' $a$ '. This is written as $\sqrt[3]{a}$ or $\sqrt[3]{a}$ .
Expressing the Cube Root in Exponential Form: Express the cube root in exponential form. $\newline$ The cube root of $a$ can be expressed as $a$ raised to the power of $\frac{1}{3}$ , because taking the cube root is the inverse operation of cubing a number.
Matching Exponential Form with Choices: Match the exponential form with the given choices. $\newline$ The exponential form of the cube root of $a$ is $a^{1/3}$ , which corresponds to choice (C).