Question

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)
Responses

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

6−4
6 to the negative 4 power

(12)−5
1 half to the negative 5 power

4−3
4 to the negative 3 power

2−6

Answer 1

whats the closest 2 answers

Answer 2

To determine which expressions could evaluate to 164, we will compute the value of each of the given expressions.

1. **(14)−3**: This means \(14^{-3} = \frac{1}{14^3} = \frac{1}{2744} \approx 0.000364\). This is not 164.

2. **6−4**: This means \(6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \approx 0.0007716\). This is not 164.

3. **(12)−5**: This means \(12^{-5} = \frac{1}{12^5} = \frac{1}{248832} \approx 0.00000402\). This is not 164.

4. **4−3**: This means \(4^{-3} = \frac{1}{4^3} = \frac{1}{64} = 0.015625\). This is not 164.

5. **2−6**: This means \(2^{-6} = \frac{1}{2^6} = \frac{1}{64} = 0.015625\). This is also not 164.

None of the options listed evaluate to 164. It's possible that there is a mistake in the options provided or the question itself. If you have other expressions or details, please share!

Answer 3

Given the expressions provided, it appears none of them equal 164, but we can analyze which expressions yield the highest (least negative) values to identify the two that are closest to 164. Here's a summary of the values for each:

1. **(14)−3**: \(14^{-3} = \frac{1}{14^3} \approx 0.000364\)
2. **6−4**: \(6^{-4} = \frac{1}{6^4} \approx 0.0007716\)
3. **(12)−5**: \(12^{-5} = \frac{1}{12^5} \approx 0.00000402\)
4. **4−3**: \(4^{-3} = \frac{1}{4^3} = 0.015625\)
5. **2−6**: \(2^{-6} = \frac{1}{2^6} = 0.015625\)

The expressions yielding the highest values are:

- **4−3**: \(0.015625\)
- **2−6**: \(0.015625\)

These two expressions are the closest in value to 164. However, it's important to note that they are still far from 164.