Which is equal to 1/3^4? Choices: (A)3^4 (B)-1/3^-4 (C)3^-4 (D)-(-3)^4

Understand Expression: Understand the expression 1/3^4. Rewrite 1/3^4 using negative exponents. 1/3^4 = 3^-4 Rewrite Using Negative Exponents: Match the expression 3^-4 with the given choices. (A) 3^4 - This is the positive exponent form, not equivalent. (B) -1/3^-4 - This introduces a negative sign, not equivalent. (C) 3^-4 - This matches exactly with our rewritten expression. (D) -(-3)^4 - This changes the base and introduces a negative sign, not equivalent.

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Which is equal to $\frac{1}{3^4}$ ? $\newline$ Choices: $\newline$ (A) $3^4$ $\newline$ (B) $-\frac{1}{3^{-4}}$ $\newline$ (C) $3^{-4}$ $\newline$ (D) $-(-3)^4$

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Math Problems

Grade 8

Understanding negative exponents

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Q. Which is equal to

\frac{1}{3^4}

\newline

Choices:

\newline

(A)

3^4

\newline

(B)

-\frac{1}{3^{-4}}

\newline

(C)

3^{-4}

\newline

(D)

-(-3)^4

Understand Expression: Understand the expression $\frac{1}{3^4}$ . $\newline$ Rewrite $\frac{1}{3^4}$ using negative exponents. $\newline$ $\frac{1}{3^4} = 3^{-4}$
Rewrite Using Negative Exponents: Match the expression $3^{-4}$ with the given choices. $\newline$ (A) $3^4$ - This is the positive exponent form, not equivalent. $\newline$ (B) $-\frac{1}{3^{-4}}$ - This introduces a negative sign, not equivalent. $\newline$ (C) $3^{-4}$ - This matches exactly with our rewritten expression. $\newline$ (D) $-(-3)^4$ - This changes the base and introduces a negative sign, not equivalent.