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?

5 answers

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
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