Question

Select all terms that are equivalent to 4345


Show your work.

(2 points)
Responses

−42
negative 4 squared

142
the fraction with numerator 1 and denominator 4 squared

42
4 squared

4−2
4 to the negative 2 power

116

Answer 1

To determine which terms are equivalent to the number 4345, we’ll evaluate each response one by one.

1. **−42**: This is simply negative forty-two. It is clearly not equivalent to 4345.

**Result: Not equivalent**

2. **negative 4 squared**: The expression "negative 4 squared" translates mathematically to \((-4)^2 = 16\). This is also not equivalent to 4345.

**Result: Not equivalent**

3. **142**: This is positive one hundred forty-two. It does not equal 4345.

**Result: Not equivalent**

4. **the fraction with numerator 1 and denominator 4 squared**: This mathematically translates to \(\frac{1}{4^2} = \frac{1}{16}\), which is equal to 0.0625. This is far from 4345.

**Result: Not equivalent**

5. **42**: This is just forty-two. Again, it does not equal 4345.

**Result: Not equivalent**

6. **4−2**: This expression means \(4 - 2 = 2\). This is not equal to 4345.

**Result: Not equivalent**

7. **4 to the negative 2 power**: This means \(4^{-2} = \frac{1}{4^2} = \frac{1}{16} = 0.0625\), which is not equivalent to 4345.

**Result: Not equivalent**

8. **116**: This is one hundred sixteen, which is not equal to 4345.

**Result: Not equivalent**

After evaluating each term, we conclude that **none of the provided options are equivalent to 4345**.