Iris found a value of%C2%A0 164 %C2%A0when she evaluated an expression. Which could have been the expression Iris evaluated? Check the%C2%A0two%C2%A0that apply.(2 points) Responses 2−6 2 to the negative 6 power (14)−3 1 fourth to the negative 3 power 4−3 4 to the negative 3 power (12)−5 1 half to the negative 5 power 6−4

Answer 1

To determine which expressions could evaluate to 164, let's calculate each of the given options:

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

2. \((\frac{1}{4})^{-3}\): \[ \left(\frac{1}{4}\right)^{-3} = 4^3 = 64 \quad (\text{not } 164) \]

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

4. \((\frac{1}{2})^{-5}\): \[ \left(\frac{1}{2}\right)^{-5} = 2^5 = 32 \quad (\text{not } 164) \]

5. \(6^{-4}\): \[ 6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \quad (\text{not } 164) \]

After evaluating all expressions, none of the provided responses appear to evaluate to 164.

Could you please confirm if any expressions were omitted or if the requested target value is indeed correct?