SOLUTION: Will someone help me with ths last homework question? Thank you. Divide if possible, Simplify 10a^9/2 divided by 9a^4/6

Algebra ->  Rational-functions -> SOLUTION: Will someone help me with ths last homework question? Thank you. Divide if possible, Simplify 10a^9/2 divided by 9a^4/6      Log On


   

Question 303060: Will someone help me with ths last homework question? Thank you.
Divide if possible, Simplify
10a^9/2 divided by 9a^4/6
Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
If I understand you correctly, we are looking at:
+%2810a%5E9%2F2%29+%2F+%289a%5E4%2F6%29+

In standard notation it would be: (10a^9/2) / (9a^4/6)
Is that correct?

If so:
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %2810a%5E9%2F2%29%2F%289a%5E4%2F6%29 simplifies to 10%2Aa%5E%285%29%2F3
  • Text form: (10a^9/2)/(9a^4/6) simplifies to 10*a^(5)/3
  • Cartoon (animation) form: simplify_cartoon%28+%2810a%5E9%2F2%29%2F%289a%5E4%2F6%29+%29
    For tutors: simplify_cartoon( (10a^9/2)/(9a^4/6) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28highlight_red%28+10%2Aa%5E9%2F2+%29%29%2F%289%2Aa%5E4%2F6%29+%29.
Remove unneeded parentheses around factor highlight_red%28+10+%29,highlight_red%28+a%5E9+%29,highlight_red%28+1%2F2+%29
It becomes .
Look at highlight_red%28+10%2Aa%5E9%2F2%2F%28highlight_red%28+9%2Aa%5E4%2F6+%29%29+%29.
Remove unneeded parentheses around factor highlight_red%28+1%2F9+%29,highlight_red%28+1%2Fa%5E4+%29,highlight_red%28+6+%29
It becomes .
Look at highlight_red%28+10+%29%2Aa%5E9%2Fhighlight_red%28+2+%29%2F9%2Fa%5E4%2A6.
Factors 10 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes highlight_green%28+5+%29%2Aa%5E9%2Fhighlight_green%28+1+%29%2F9%2Fa%5E4%2A6.
Look at 5%2Aa%5E9%2F1%2Fhighlight_red%28+9+%29%2Fa%5E4%2Ahighlight_red%28+6+%29.
Factors 6 and 9 have greatest common factor (GCF) of 3. Reducing fraction.
It becomes 5%2Aa%5E9%2F1%2Fhighlight_green%28+3+%29%2Fa%5E4%2Ahighlight_green%28+2+%29.
Look at highlight_red%28+5+%29%2Aa%5E9%2F1%2F3%2Fa%5E4%2Ahighlight_red%28+2+%29.
Multiplied numerator integers
It becomes highlight_green%28+10+%29%2Aa%5E9%2F1%2F3%2Fa%5E4.
Look at 10%2Aa%5E9%2Fhighlight_red%28+1+%29%2Fhighlight_red%28+3+%29%2Fa%5E4.
Multiplied denominator integers
It becomes 10%2Aa%5E9%2Fhighlight_green%28+3+%29%2Fa%5E4.
Look at 10%2Ahighlight_red%28+a%5E9+%29%2F3%2Fhighlight_red%28+a%5E4+%29.
Reduce similar several occurrences of highlight_red%28+a%5E9+%29 to highlight_green%28+a%5E%289-4%29+%29
It becomes 10%2Ahighlight_green%28+a%5E%289-4%29+%29%2F3.
Look at 10%2Aa%5E%28highlight_red%28+9+%29-highlight_red%28+4+%29%29%2F3.
Added fractions or integers together
It becomes 10%2Aa%5E%28highlight_green%28+5+%29%29%2F3.
Result: 10%2Aa%5E%285%29%2F3

Universal Simplifier and Solver


Done!

+graph%28+300%2C+200%2C+-1.5%2C+1.5%2C+-2%2C+2%2C+%2810x%5E9%2F2%29+%2F+%289x%5E4%2F6%29%29+
& bob's your uncle!