SOLUTION: Simplifying without a calculator using the rules of exponents. Showing work and putting in a^u b^2 format a^2x b^-x (a^x)^4 (b^2)^x (1/a)^3 ^^^all one problem a & b were not

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Question 1061972: Simplifying without a calculator using the rules of exponents. Showing work and putting in a^u b^2 format
a^2x b^-x (a^x)^4 (b^2)^x (1/a)^3
^^^all one problem a & b were not put in parenthesis with their separate exponents and this is exactly how it was written, to avoid any confusion.
I'm not sure where to start or how to break down this problem.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Simplifying without a calculator using the rules of exponents. Showing work and putting in a^u b^2 format
a^2x b^-x (a^x)^4 (b^2)^x (1/a)^3
^^^all one problem a & b were not put in parenthesis with their separate exponents and this is exactly how it was written, to avoid any confusion.
I'm not sure where to start or how to break down this problem.
If it's a%5E%282x%29b%5E%28-+x%29%28a%5Ex%29%5E4%28b%5E2%29%5Ex+%2A+%281%2Fa%29%5E3, then continue reading.
a%5E%282x%29b%5E%28-+x%29+%2A+a%5E%284x%29+%2A+b%5E%282x%29+%2A+a%5E%28-+3%29 ------- Getting rid of parentheses, and converting matrix%281%2C3%2C+%281%2Fa%29%5E3%2C+to%2C+a%5E%28-+3%29%29
a%5E%282x%29+%2A+a%5E%284x%29+%2A+a%5E%28-+3%29+%2A+b%5E%28-+x%29+%2A+b%5E%282x%29 ------- Collecting like-terms
a%5E%282x+%2B+4x+%2B+-+3%29+%2A+b%5E%28-+x+%2B+2x%29_______highlight_green%28a%5E%286x+-+3%29b%5Ex%29