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help simplifying an expression with exponents (I think book may be incorrect)

Below are pictures of the problem in the book and how I simplified it.

(2a^2 b)(-3a^-2 b^3)^2

The books answer is -6b^7. I can't figure out how to get this answer. Is the book wrong? My answer is (18b^7)/a^2. Is my answer correct?

Re: help simplifying an expression with exponents (I think the may be incorrect)

Quote:

Originally Posted by

**StudentMCCS** The books answer is -6b^7. I can't figure out how to get this answer. Is the book wrong? Is my answer correct?

1. If (and only if) you have copied the question correctly your answer is OK. But ...

2. The answer in the book belongs to the question

$\displaystyle (2a^{2} b)(-3a^{-2}(b^3)^2)$