Which is equal to 3^-7? Choices: (A)(-3)^-7 (B)3^7 (C)-1/3^-7 (D)1/3^7

Understand 3^-7: Understand the expression 3^-7. 3^-7 means 1 divided by 3 raised to the power of 7.Compare choices: Compare the choices to find an equivalent expression. (A) (-3)^-7 is not equivalent because it involves -3, not 3. (B) 3^7 is the reciprocal of 3^-7, so it's not equivalent. (C) -1/3^-7 is not equivalent because it introduces a negative sign that isn't in the original expression. (D) 1/3^7 is exactly 3^-7 written in another form.

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Which is equal to $3^{-7}$ ? $\newline$ Choices: $\newline$ (A) $(-3)^{-7}$ $\newline$ (B) $3^{7}$ $\newline$ (C) $-\frac{1}{3^{-7}}$ $\newline$ (D) $\frac{1}{3^{7}}$

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Math Problems

Grade 8

Understanding negative exponents

Full solution

Q. Which is equal to

3^{-7}

\newline

Choices:

\newline

(A)

(-3)^{-7}

\newline

(B)

3^{7}

\newline

(C)

-\frac{1}{3^{-7}}

\newline

(D)

\frac{1}{3^{7}}

Understand $3^{-7}$ : Understand the expression $3^{-7}$ . $3^{-7}$ means $1$ divided by $3$ raised to the power of $7$ .
Compare choices: Compare the choices to find an equivalent expression. $\newline$ (A) $(-3)^{-7}$ is not equivalent because it involves $-3$ , not $3$ . $\newline$ (B) $3^7$ is the reciprocal of $3^{-7}$ , so it's not equivalent. $\newline$ (C) $-\frac{1}{3^{-7}}$ is not equivalent because it introduces a negative sign that isn't in the original expression. $\newline$ (D) $\frac{1}{3^7}$ is exactly $3^{-7}$ written in another form.