Iris found a value of 164 when she evaluated an expression. Which could have been the expression Iris evaluated? Check the two that apply.(2 points)Responses4−34 to the negative 3 power2−62 to the negative 6 power(12)−51 half to the negative 5 power6−46 to the negative 4 power(14)−3

1 answer

Let's evaluate the expressions one by one to see which ones could equal 164.

  1. \(4^{-3}\): \[ 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \quad (\text{Not equal to } 164) \]

  2. \(2^{-6}\): \[ 2^{-6} = \frac{1}{2^6} = \frac{1}{64} \quad (\text{Not equal to } 164) \]

  3. \((\frac{1}{2})^{-5}\): \[ \left(\frac{1}{2}\right)^{-5} = 2^5 = 32 \quad (\text{Not equal to } 164) \]

  4. \(6^{-4}\): \[ 6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \quad (\text{Not equal to } 164) \]

  5. \((\frac{1}{4})^{-3}\): \[ \left(\frac{1}{4}\right)^{-3} = 4^3 = 64 \quad (\text{Not equal to } 164) \]

None of these expressions evaluated to 164, so none are correct based on the options provided. Based on these evaluations, it appears that none of the options provided are equal to 164. Please double-check if there are additional options or if there's a mistake.