Find the product. Simplify your answer.

Question

(
–
g3)(
–
2g4)

Answer 1

To find the product of the expressions \((-g^3)\) and \((-2g^4)\), you can follow these steps:

1. Multiply the coefficients: \(-1\) and \(-2\) give \(2\) (since the product of two negative numbers is positive).

2. Multiply the variables: \(g^3 \cdot g^4 = g^{3+4} = g^7\) (using the property of exponents that states \(a^m \cdot a^n = a^{m+n}\)).

Now combine these results:

\[ (-g^3)(-2g^4) = 2g^7 \]

Thus, the simplified product is:

\[ \boxed{2g^7} \]