Iris found a value of 164

Question

when she evaluated an expression. Which could have been the expression Iris evaluated? Check the two that apply.(2 points)
Responses

2−6
2 to the negative 6 power

(14)−3
1 fourth to the negative 3 power

(12)−5
1 half to the negative 5 power

6−4
6 to the negative 4 power

4−3

Answer 1

To determine which expressions could evaluate to 164, let's evaluate each expression to see their values.

1. \(2^{-6}\): \[ 2^{-6} = \frac{1}{2^6} = \frac{1}{64} \approx 0.015625 \]

2. \((\frac{1}{4})^{-3}\): \[ (\frac{1}{4})^{-3} = 4^3 = 64 \]

3. \((\frac{1}{2})^{-5}\): \[ (\frac{1}{2})^{-5} = 2^5 = 32 \]

4. \(6^{-4}\): \[ 6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \approx 0.0007716 \]

5. \(4^{-3}\): \[ 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \approx 0.015625 \]

None of the evaluated expressions yield 164.

If you were looking for expressions that could potentially reach 164 when manipulated, please clarify, but based on the provided options, none of them equal 164 directly.