Iris found a value of 1/64

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 find which expressions could evaluate to \( \frac{1}{64} \), we need to evaluate each option:

1. \( 2^{-6} \): \[ 2^{-6} = \frac{1}{2^6} = \frac{1}{64} \] This expression evaluates to \( \frac{1}{64} \).

2. \( (14)^{-3} \): \[ (14)^{-3} = \frac{1}{14^3} \] This does not evaluate to \( \frac{1}{64} \).

3. \( (12)^{-5} \): \[ (12)^{-5} = \frac{1}{12^5} \] This does not evaluate to \( \frac{1}{64} \).

4. \( 6^{-4} \): \[ 6^{-4} = \frac{1}{6^4} \] This does not evaluate to \( \frac{1}{64} \).

5. \( 4^{-3} \): \[ 4^{-3} = \frac{1}{4^3} = \frac{1}{64} \] This expression also evaluates to \( \frac{1}{64} \).

Thus, the expressions that could have been evaluated by Iris to give \( \frac{1}{64} \) are:

• \( 2^{-6} \)
• \( 4^{-3} \)

So the correct responses are:

• \( 2^{-6} \)
• \( 4^{-3} \)