SOLUTION: Please explain how this would be worked out Use only positive exponents in the answer 2a^-6b^2/18ab^-5*(3b)^-2

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Question 231372: Please explain how this would be worked out
Use only positive exponents in the answer
2a^-6b^2/18ab^-5*(3b)^-2
Answer by bamaboy(14)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SUBSTITUTION solver -- compute expression given values
Your Result:


YOUR ANSWER


  • Graphical form: simplifies to
  • Text form: 2a^-6b^2/18/ab^-5*(3b)^-2 simplifies to ab^5/a^6/81
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( 2a^-6b^2/18/ab^-5*(3b)^-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Factors 2 and 18 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Negative power changes multiplication to division
It becomes .
Look at .
Negative power changes multiplication to division
It becomes .
Look at .
Negative power changes multiplication to division
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Look at .
Canceled out common factors (b-(0)),(b-(0))
Look at .
Remove unneeded parentheses around factor highlight_red%28+1+%29
It becomes .
Look at .
Remove unneeded parentheses around factor highlight_red%28+1%2F9+%29
It becomes .
Look at .
Multiplied denominator integers
It becomes .
Look at .
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes .
Result:

Universal Simplifier and Solver


Done!