Question

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

−18b28
negative 18 b superscript 28 baseline
18b11
18 b superscript 11 baseline
−18b11
negative 18 b superscript 11 baseline
−18b−3

Answer 1

To simplify the expression \((-3b^4)(6b^7)\), we will use the properties of integer exponents and multiplication.

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

2. **Multiply the variables with exponents:**
When multiplying like bases, you add the exponents:
\(b^4 \times b^7 = b^{4+7} = b^{11}\)

Now, combine both results:

\[
(-3b^4)(6b^7) = -18b^{11}
\]

So, the simplified expression is \(-18b^{11}\).

The correct response is:
**−18b11**