Which is equal to 1/27^3? Choices: (A)(-27)^-3 (B)27^-3 (C)-1/(-27)^-3 (D)1/(-27)^3

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Which is equal to 1/27^3?   Choices: (A)(-27)^-3 (B)27^-3 (C)-1/(-27)^-3 (D)1/(-27)^3

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Understand expression: Understand the given expression 1/27^3. The expression 1/27^3 represents the reciprocal of 27 raised to the power of 3.Simplify 27^3: Simplify the expression 27^3. Calculating 27^3 gives us 27 * 27 * 27 = 19683.Rewrite as 1/19683: Rewrite the given expression using the result from Step 2. The expression 1/27^3 can be rewritten as 1/19683.Identify equivalent expression: Identify the equivalent expression among the choices. We need to find an expression that simplifies to 1/19683.Analyze choice (A): Analyze choice (A) (-27)^-3. The negative exponent indicates the reciprocal, so (-27)^-3 is equivalent to 1/(-27)^3. However, this is not the same as 1/27^3 because of the negative sign inside the parentheses.Analyze choice (B): Analyze choice (B) 27^-3. The negative exponent indicates the reciprocal, so 27^-3 is equivalent to 1/27^3. This matches our given expression.Analyze choice (C): Analyze choice (C) -1/(-27)^-3. The negative exponent indicates the reciprocal, so -1/(-27)^-3 is equivalent to -1/(1/(-27)^3), which simplifies to -(-27)^3. This introduces an unnecessary negative sign and does not match our given expression.Analyze choice (D): Analyze choice (D) 1/(-27)^3. This choice has a negative sign inside the parentheses, which does not match our given expression 1/27^3.Conclude correct answer: Conclude the correct answer. Based on the analysis, the expression that is equal to 1/27^3 is 27^-3.

Which is equal to $\frac{1}{27^3}$ ? $\newline$ Choices: $\newline$ (A) $(-27)^{-3}$ $\newline$ (B) $27^{-3}$ $\newline$ (C) $-\frac{1}{(-27)^{-3}}$ $\newline$ (D) $\frac{1}{(-27)^3}$

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Which is equal to 1273\frac{1}{27^3}2731​?\newlineChoices:\newline(A) (−27)−3(-27)^{-3}(−27)−3\newline(B) 27−327^{-3}27−3\newline(C) −1(−27)−3-\frac{1}{(-27)^{-3}}−(−27)−31​\newline(D) 1(−27)3\frac{1}{(-27)^3}(−27)31​

Which is equal to $\frac{1}{27^3}$ ? $\newline$ Choices: $\newline$ (A) $(-27)^{-3}$ $\newline$ (B) $27^{-3}$ $\newline$ (C) $-\frac{1}{(-27)^{-3}}$ $\newline$ (D) $\frac{1}{(-27)^3}$