Which exponential expression is equivalent to root(7)(b) ? Choose 1 answer: (A) b^(7) (B) b^((1)/(7)) (c) (1)/(b^(7)) (D) (1)/(b^((1)/(7)))

Understand Meaning of Seventh Root: Understand the meaning of the seventh root of b. The seventh root of b, denoted as root(7)(b), means a number that when raised to the power of 7 gives b.Express in Exponential Form: Express the seventh root of b in exponential form. The exponential form of a root can be written as a fraction. The seventh root of b is equivalent to raising b to the power of 1/7.Match with Options: Match the exponential form with the given options. The correct exponential expression that matches root(7)(b) is b^(1/7).Identify Correct Answer: Identify the correct answer from the options. Option (A) b^(7) is incorrect because it represents b raised to the seventh power, not the seventh root. Option (C) (1)/(b^(7)) is incorrect because it represents the reciprocal of b raised to the seventh power. Option (D) (1)/(b^((1)/(7))) is incorrect because it represents the reciprocal of the seventh root of b. Option (B) b^((1)/(7)) is the correct answer because it represents the seventh root of b.

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Which exponential expression is equivalent to
root(7)(b) ?
Choose 1 answer:
(A)
b^(7)
(B)
b^((1)/(7))
(c)
(1)/(b^(7))
(D)
(1)/(b^((1)/(7)))

Which exponential expression is equivalent to $\sqrt[7]{b}$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $b^{7}$ $\newline$ (B) $b^{\frac{1}{7}}$ $\newline$ (C) $\frac{1}{b^{7}}$ $\newline$ (D) $\frac{1}{b^{\frac{1}{7}}}$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. Which exponential expression is equivalent to

\sqrt[7]{b}

\newline

Choose

1

answer:

\newline

(A)

b^{7}

\newline

(B)

b^{\frac{1}{7}}

\newline

(C)

\frac{1}{b^{7}}

\newline

(D)

\frac{1}{b^{\frac{1}{7}}}

Understand Meaning of Seventh Root: Understand the meaning of the seventh root of $b$ . The seventh root of $b$ , denoted as $\sqrt[7]{b}$ , means a number that when raised to the power of $7$ gives $b$ .
Express in Exponential Form: Express the seventh root of $b$ in exponential form. $\newline$ The exponential form of a root can be written as a fraction. The seventh root of $b$ is equivalent to raising $b$ to the power of $\frac{1}{7}$ .
Match with Options: Match the exponential form with the given options. $\newline$ The correct exponential expression that matches $\sqrt[7]{b}$ is $b^{1/7}$ .
Identify Correct Answer: Identify the correct answer from the options. $\newline$ Option (A) $b^{7}$ is incorrect because it represents $b$ raised to the seventh power, not the seventh root. $\newline$ Option (C) $\frac{1}{b^{7}}$ is incorrect because it represents the reciprocal of $b$ raised to the seventh power. $\newline$ Option (D) $\frac{1}{b^{\left(\frac{1}{7}\right)}}$ is incorrect because it represents the reciprocal of the seventh root of $b$ . $\newline$ Option (B) $b^{\left(\frac{1}{7}\right)}$ is the correct answer because it represents the seventh root of $b$ .