(-1/2g^3h^6)(-6gh^2)
To simplify this expression, we will first simplify the coefficients, then the variable terms.
The coefficient (-1/2g^3h^6) multiplied by (-6gh^2) is:
(-1/2) * (-6) = 3
Now, let's simplify the variable terms.
g^3 multiplied by g is: g^4 (by adding the exponents)
h^6 multiplied by h^2 is: h^8 (by adding the exponents)
Therefore, the simplified expression is:
3g^4h^8