Which is equal to 1/28^9? Choices: (A)-1/28^-9 (B)1/28^-9 (C)28^-9 (D)(-28)^-9

Question

Which is equal to 1/28^9?   Choices: (A)-1/28^-9 (B)1/28^-9 (C)28^-9 (D)(-28)^-9

Bytelearn · Accepted Answer

Understand given expression: Understand the given expression 1/28^9. The given expression is a fraction where 28^9 is in the denominator. This means we are looking for an expression with a negative exponent that would represent the reciprocal of 28^9.Apply negative exponent rule: Apply the negative exponent rule. The negative exponent rule states that a^-m = 1/a^m. Therefore, to express 1/28^9 with a negative exponent, we would write it as 28^-9.Match with given choices: Match the expression with the given choices. We have determined that 1/28^9 is equivalent to 28^-9. Now we need to find this expression among the choices provided. (A) -1/28^-9 is not correct because it introduces a negative sign in the numerator which is not present in the original expression. (B) 1/28^-9 is not correct because it represents 28^9, not 1/28^9. (C) 28^-9 is the correct choice because it represents the reciprocal of 28^9. (D) (-28)^-9 is not correct because it introduces a negative sign in the base which is not present in the original expression.

Which is equal to $\frac{1}{28^9}$ ? $\newline$ Choices: $\newline$ (A) $-\frac{1}{28^{-9}}$ $\newline$ (B) $\frac{1}{28^{-9}}$ $\newline$ (C) $28^{-9}$ $\newline$ (D) $(-28)^{-9}$

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Which is equal to 1289\frac{1}{28^9}2891​?\newlineChoices:\newline(A) −128−9-\frac{1}{28^{-9}}−28−91​\newline(B) 128−9\frac{1}{28^{-9}}28−91​\newline(C) 28−928^{-9}28−9\newline(D) (−28)−9(-28)^{-9}(−28)−9

Which is equal to $\frac{1}{28^9}$ ? $\newline$ Choices: $\newline$ (A) $-\frac{1}{28^{-9}}$ $\newline$ (B) $\frac{1}{28^{-9}}$ $\newline$ (C) $28^{-9}$ $\newline$ (D) $(-28)^{-9}$