Which is equal to 1/3^98? Choices: (A)-(-3)^98 (B)-1/(-3)^-98 (C)1/3^-98 (D)3^-98

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Which is equal to 1/3^98?   Choices: (A)-(-3)^98 (B)-1/(-3)^-98 (C)1/3^-98 (D)3^-98

Bytelearn · Accepted Answer

Understand expression: Understand the given expression 1/3^98. The expression represents the reciprocal of 3 raised to the 98th power.Apply negative exponent rule: Apply the negative exponent rule. The negative exponent rule states that a^(-m) = 1/a^m. Therefore, 1/3^98 can be rewritten using a negative exponent as 3^-98.Compare with choices: Compare the rewritten expression with the given choices. The expression 3^-98 matches choice (D) directly.Verify other choices: Verify that the other choices are not equivalent to 1/3^98. (A) (-3)^98 is not equivalent because it represents a negative base raised to an even power, which would be positive and not a reciprocal. (B) -1/(-3)^-98 is not equivalent because it represents a negative reciprocal of a negative base raised to a negative power, which would not simplify to 1/3^98. (C) 1/3^-98 is already in the form of a negative exponent and does not need to be changed; however, it is not the correct choice because it represents the reciprocal of 3^-98, which would be 3^98.

Which is equal to $\frac{1}{3^{98}}$ ? $\newline$ Choices: $\newline$ (A) $-(-3)^{98}$ $\newline$ (B) $-\frac{1}{(-3)^{-98}}$ $\newline$ (C) $\frac{1}{3^{-98}}$ $\newline$ (D) $3^{-98}$

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Which is equal to 1398\frac{1}{3^{98}}3981​?\newlineChoices:\newline(A) −(−3)98-(-3)^{98}−(−3)98\newline(B) −1(−3)−98-\frac{1}{(-3)^{-98}}−(−3)−981​\newline(C) 13−98\frac{1}{3^{-98}}3−981​\newline(D) 3−983^{-98}3−98

Which is equal to $\frac{1}{3^{98}}$ ? $\newline$ Choices: $\newline$ (A) $-(-3)^{98}$ $\newline$ (B) $-\frac{1}{(-3)^{-98}}$ $\newline$ (C) $\frac{1}{3^{-98}}$ $\newline$ (D) $3^{-98}$