Question

Use the properties of integer exponents to simplify the expression (−3b4)(6b7)
.(1 point)
Responses

−18b28
negative 18 b superscript 28 baseline

−18b−3
negative 18 b superscript -3 baseline

18b11
18 b superscript 11 baseline

−18b11

Answer 1

To simplify the expression \((-3b^4)(6b^7)\), we can follow these steps:

1. **Multiply the coefficients**: Multiply \(-3\) and \(6\).
\[
-3 \times 6 = -18
\]

2. **Multiply the bases and add the exponents**: For \(b^4\) and \(b^7\), use the property \(b^m \cdot b^n = b^{m+n}\).
\[
b^4 \cdot b^7 = b^{4+7} = b^{11}
\]

3. **Combine the results**:
\[
(-3b^4)(6b^7) = -18b^{11}
\]

Thus, the simplified expression is:

\(-18b^{11}\)

The correct response is:

**−18b11**.