Find the product. Simplify your answer.

Question

(
–
6c4)(c4)

Answer 1

To find the product of \((-6c^4)(c^4)\), we can use the following steps:

1. Multiply the coefficients: The coefficient of the first term is \(-6\) and the coefficient of the second term is \(1\) (since \(c^4\) can be thought of as \(1 \cdot c^4\)). So, we have: \[ -6 \cdot 1 = -6 \]

2. Multiply the powers of \(c\): When multiplying like bases, you add the exponents. Here, both terms have \(c\) raised to the fourth power, so: \[ c^4 \cdot c^4 = c^{4 + 4} = c^8 \]

3. Combine the results: Now, we can combine the coefficient with the variable: \[ -6c^8 \]

Thus, the product \((-6c^4)(c^4)\) simplifies to:

\[ \boxed{-6c^8} \]