Find the product. Simplify your answer.

Question

(
–
5k4)(5k3)

Answer 1

To find the product of \((-5k^4)(5k^3)\), follow these steps:

1. Multiply the coefficients: \[ -5 \times 5 = -25 \]

2. Multiply the powers of \(k\) using the property \(k^a \times k^b = k^{a+b}\): \[ k^4 \times k^3 = k^{4+3} = k^7 \]

3. Combine the results: \[ (-5k^4)(5k^3) = -25k^7 \]

Thus, the simplified product is: \[ \boxed{-25k^7} \]