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
(12)−5
1 half to the negative 5 power
6−4
6 to the negative 4 power
(14)−3
1 fourth to the negative 3 power
4−3
4 to the negative 3 power
2−6
when she evaluated an expression. Which could have been the expression Iris evaluated? Check the two that apply.(2 points)
Responses
(12)−5
1 half to the negative 5 power
6−4
6 to the negative 4 power
(14)−3
1 fourth to the negative 3 power
4−3
4 to the negative 3 power
2−6
Answers
GPT-4o mini
To determine which expressions could equal 164, we will evaluate each of the mathematical expressions given:
1. **(12)−5 or \( \left( \frac{1}{2} \right)^{-5} \)**:
\[
\left( \frac{1}{2} \right)^{-5} = 2^5 = 32 \quad (\text{Not 164})
\]
2. **6−4 or \( 6^{-4} \)**:
\[
6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \quad (\text{Not 164})
\]
3. **(14)−3 or \( \left( \frac{1}{4} \right)^{-3} \)**:
\[
\left( \frac{1}{4} \right)^{-3} = 4^3 = 64 \quad (\text{Not 164})
\]
4. **4−3 or \( 4^{-3} \)**:
\[
4^{-3} = \frac{1}{4^3} = \frac{1}{64} \quad (\text{Not 164})
\]
5. **2−6 or \( 2^{-6} \)**:
\[
2^{-6} = \frac{1}{2^6} = \frac{1}{64} \quad (\text{Not 164})
\]
None of the given expressions produce a result of 164 based on the evaluations provided. Thus, there are no expressions from the list that could have resulted in 164.
If there were additional options available outside the given list or if there was more context around the original expression that led to 164, please share that information for further assistance.
1. **(12)−5 or \( \left( \frac{1}{2} \right)^{-5} \)**:
\[
\left( \frac{1}{2} \right)^{-5} = 2^5 = 32 \quad (\text{Not 164})
\]
2. **6−4 or \( 6^{-4} \)**:
\[
6^{-4} = \frac{1}{6^4} = \frac{1}{1296} \quad (\text{Not 164})
\]
3. **(14)−3 or \( \left( \frac{1}{4} \right)^{-3} \)**:
\[
\left( \frac{1}{4} \right)^{-3} = 4^3 = 64 \quad (\text{Not 164})
\]
4. **4−3 or \( 4^{-3} \)**:
\[
4^{-3} = \frac{1}{4^3} = \frac{1}{64} \quad (\text{Not 164})
\]
5. **2−6 or \( 2^{-6} \)**:
\[
2^{-6} = \frac{1}{2^6} = \frac{1}{64} \quad (\text{Not 164})
\]
None of the given expressions produce a result of 164 based on the evaluations provided. Thus, there are no expressions from the list that could have resulted in 164.
If there were additional options available outside the given list or if there was more context around the original expression that led to 164, please share that information for further assistance.