Which two of the following numbers have a product that is between -1 and 0 ? Indicate both of the numbers. -20 -10 $$ 3^{-4} $$

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To determine which two numbers have a product that is between -1 and 0, we first need to evaluate the given numbers:

1. **-20**
2. **-10**
3. **$$ 3^{-4} $$**

Next, we calculate $$ 3^{-4} $$:

$$
3^{-4} = \frac{1}{3^4} = \frac{1}{81} \approx 0.0123
$$

Now we have the three numbers:
- -20
- -10
- $$ \frac{1}{81} $$ (approximately 0.0123)

Next, we will check the products of the pairs of numbers:

1. **Product of -20 and -10**:
   $$
   -20 \times -10 = 200
   $$
   This product is not between -1 and 0.

2. **Product of -20 and $$ 3^{-4} $$**:
   $$
   -20 \times \frac{1}{81} = -\frac{20}{81} \approx -0.2469
   $$
   This product is between -1 and 0.

3. **Product of -10 and $$ 3^{-4} $$**:
   $$
   -10 \times \frac{1}{81} = -\frac{10}{81} \approx -0.1235
   $$
   This product is also between -1 and 0.

From the calculations, the pairs that yield a product between -1 and 0 are:
- **-20 and $$ 3^{-4} $$**
- **-10 and $$ 3^{-4} $$**

Thus, the two numbers that have a product between -1 and 0 are:
- **-20**
- **$$ 3^{-4} $$**

or

- **-10**
- **$$ 3^{-4} $$**

Both pairs are valid.
The numbers -20 and $$ 3^{-4} $$ have a product between -1 and 0.

Which two of the following numbers have a product that is between -1 and 0 ? Indicate both of the numbers. -20 -10 \( 3^{-4} \)

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