Question

Use the properties of integer exponents to simplify the expression (−4a4)(−2a2) .(1 point) Responses
8a2
−8a6
8a8
8a6

Answer 1

are you sure

Answer 2

are you sure double check

Answer 3

To simplify the expression \((−4a^4)(−2a^2)\), we can follow these steps:

1. **Multiply the coefficients**:
\(-4 \times -2 = 8\).

2. **Multiply the variables using the property of exponents**:
\(a^4 \times a^2 = a^{4+2} = a^6\).

Now we can combine these results:

\[
(−4a^4)(−2a^2) = 8a^6
\]

Therefore, the simplified expression is \(8a^6\).

So the correct response is **8a6**.

Answer 4

Yes, I am sure. Let's go through the simplification process step by step again to confirm:

1. Start with the expression: \((−4a^4)(−2a^2)\).

2. **Multiply the coefficients**:
- The coefficients are \(-4\) and \(-2\).
- \(-4 \times -2 = 8\) (the product of two negative numbers is positive).

3. **Multiply the variable parts**:
- The variable parts are \(a^4\) and \(a^2\).
- By using the property of exponents, \(a^4 \times a^2 = a^{4+2} = a^6\).

4. **Combine the results**:
- Putting it all together, we have \(8a^6\).

Thus, the simplified expression is indeed \(8a^6\).

So the answer is **8a6**. Thank you for your patience!

Answer 5

Let's double-check the simplification step by step:

Starting with the expression:

\[
(−4a^4)(−2a^2)
\]

### Step 1: Multiply the coefficients
- The coefficients are \(-4\) and \(-2\).
- \(-4 \cdot -2 = 8\).

### Step 2: Multiply the variable parts
- The variable parts are \(a^4\) and \(a^2\).
- Using the property of exponents, when multiplying like bases, we add the exponents:
\[
a^4 \cdot a^2 = a^{4 + 2} = a^6.
\]

### Step 3: Combine the results
Putting the results from Step 1 and Step 2 together:
\[
(−4a^4)(−2a^2) = 8a^6.
\]

Therefore, the final simplified expression is indeed \(8a^6\).

Thank you for asking me to double-check, and I'm confident that the answer is correct: **8a6**.