Which is equal to 1/17^7? Choices: (A)-(-17)^7 (B)1/17^-7 (C)17^-7 (D)-1/(-17)^-7

Understand expression: Understand the given expression 1/17^7. The expression 1/17^7 represents the reciprocal of 17 raised to the power of 7.Compare with choices: Compare the given expression to the choices. We need to find an expression that is equivalent to 1/17^7. Let's analyze the choices one by one. (A) (-17)^7 is not equivalent because it represents a negative value, while 1/17^7 is positive.Analysis of choice A: Continue comparing the given expression to the choices. (B) 1/17^-7 uses the negative exponent rule, which states that a^-m = 1/a^m. Therefore, 1/17^-7 is equivalent to 17^7, not 1/17^7.Analysis of choice B: Continue comparing the given expression to the choices. (C) 17^-7 uses the negative exponent rule, which states that a^-m = 1/a^m. Therefore, 17^-7 is equivalent to 1/17^7.Analysis of choice C: Continue comparing the given expression to the choices. (D) -1/(-17)^-7 is not equivalent because it represents a negative value, while 1/17^7 is positive.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which is equal to $\frac{1}{17^7}$ ? $\newline$ Choices: $\newline$ (A) $-(-17)^7$ $\newline$ (B) $\frac{1}{17^{-7}}$ $\newline$ (C) $17^{-7}$ $\newline$ (D) $-\frac{1}{(-17)^{-7}}$

View step-by-step help

Full solution

Q. Which is equal to

\frac{1}{17^7}

\newline

Choices:

\newline

(A)

-(-17)^7

\newline

(B)

\frac{1}{17^{-7}}

\newline

(C)

17^{-7}

\newline

(D)

-\frac{1}{(-17)^{-7}}

Understand expression: Understand the given expression $\frac{1}{17^7}$ . The expression $\frac{1}{17^7}$ represents the reciprocal of $17$ raised to the power of $7$ .
Compare with choices: Compare the given expression to the choices. $\newline$ We need to find an expression that is equivalent to $\frac{1}{17^7}$ . Let's analyze the choices one by one. $\newline$ (A) $(-17)^7$ is not equivalent because it represents a negative value, while $\frac{1}{17^7}$ is positive.
Analysis of choice A: Continue comparing the given expression to the choices. $\newline$ (B) $\frac{1}{17^{-7}}$ uses the negative exponent rule, which states that $a^{-m} = \frac{1}{a^m}$ . Therefore, $\frac{1}{17^{-7}}$ is equivalent to $17^7$ , not $\frac{1}{17^7}$ .
Analysis of choice B: Continue comparing the given expression to the choices. $\newline$ (C) $17^{-7}$ uses the negative exponent rule, which states that $a^{-m} = 1/a^{m}$ . Therefore, $17^{-7}$ is equivalent to $1/17^{7}$ .
Analysis of choice C: Continue comparing the given expression to the choices. $\newline$ (D) $-\frac{1}{(-17)^{-7}}$ is not equivalent because it represents a negative value, while $\frac{1}{17^7}$ is positive.