Question

Select all terms that are equivalent to 4345 Show your work. (2 points) Responses 4−2 4 to the negative 2 power 116 1 over 16 42 4 squared −42negative 4 squared 142

Answer 1

To find all terms that are equivalent to 4345, we need to evaluate each expression given in the responses.

1. **4−2**:
\[
4^{-2} = \frac{1}{4^2} = \frac{1}{16}
\]

2. **4 to the negative 2 power**:
This is the same as \(4^{-2}\), so it also equals \(\frac{1}{16}\).

3. **116**:
This is simply a number, which is equal to 116, not equivalent to 4345.

4. **1 over 16**:
This is equal to \(\frac{1}{16}\), not equivalent to 4345.

5. **42**:
This is a number equal to 42, which is not equivalent to 4345.

6. **4 squared**:
\[
4^2 = 16
\]
This value is not 4345.

7. **−42 negative 4 squared**:
This term seems to have inconsistent punctuation and may be misinterpreted. Assuming it means \(-4^2\):
\[
-4^2 = -16
\]
This value is also not equivalent to 4345.

8. **142**:
This is another number, equal to 142, which is not equivalent to 4345.

Thus, after evaluating all options, none of the terms are equivalent to 4345. The answer is that no terms are selected from the provided options.