I am confused by this problem.

Divide and simplify. g^-7/g^-4. Divide and unite the expression using positive exponents.
My answer is:
g^(-7)*g^(-4)
g^(-7-4)
g^-11
1/g^11
Is this correct?

Yep.

BB you didn't change the sign on the exponent when you switched your division to multiplication.

should have been g^(-7) * g^4 = g^-3 = 1/g^3

or just use the rule for division of powers

g^-7 / g^-4
= g^(-7 - (-4))
= g^-3 or 1/g^3

Ha. Sorry B.B I didn't catch that. Reiny is right!

Thanks.

g/-2<-7

Yes, your answer is correct. To explain how you arrived at the solution, you followed the rules of exponentiation:

First, you used the rule that says when dividing two terms with the same base, you subtract the exponents. In this case, you had g^-7 divided by g^-4, so you subtracted -4 from -7:

g^(-7) / g^(-4) = g^(-7 - (-4)) = g^(-7 + 4) = g^(-3)

Next, you simplified further by using the rule that says a negative exponent indicates the reciprocal of the term with a positive exponent:

g^(-3) = 1 / g^3

So, your final answer is indeed 1/g^3 or g^-3. Well done!