SOLUTION: Hi, Please help me solve this question! Simplify a^3*b^0 /(ab)^-2 Thannk you!

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Question 389032: Hi,
Please help me solve this question!
Simplify a^3*b^0 /(ab)^-2
Thannk you!

Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E3%2Ab%5E0+%2F%28ab%29%5E-2
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: a%5E3%2Ab%5E0%2F%28ab%29%5E-2 simplifies to a%5E3%2A%28ab%29%5E2
  • Text form: a^3*b^0/(ab)^-2 simplifies to a^3*(ab)^2
  • Cartoon (animation) form: simplify_cartoon%28+a%5E3%2Ab%5E0%2F%28ab%29%5E-2+%29
    For tutors: simplify_cartoon( a^3*b^0/(ab)^-2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at a%5E3%2Ahighlight_red%28+b+%29%5Ehighlight_red%28+0+%29%2F%28ab%29%5E-2.
Removing power highlight_red%28+b+%29 to degree of highlight_green%28+0+%29

Look at a%5E3%2Ahighlight_red%28+1+%29%2F%28ab%29%5E-2.
Remove extraneous '1' from product highlight_red%28+1+%29
It becomes a%5E3%2F%28ab%29%5E-2.

Look at a%5E3%2Fhighlight_red%28+%28ab%29%5E-2+%29.
Negative power changes multiplication to division
It becomes a%5E3%2Ahighlight_green%28+%28ab%29%5E2+%29.
Result: a%5E3%2A%28ab%29%5E2

Universal Simplifier and Solver


Done!