SOLUTION: (5x squared times the cubed root of 3y to the 5th) times (7x squared times the cubed root of 9y)

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Question 545140: (5x squared times the cubed root of 3y to the 5th) times (7x squared times the cubed root of 9y)
Found 2 solutions by saifoo.khan, MathTherapy:
Answer by saifoo.khan(162) About Me  (Show Source):
You can put this solution on YOUR website!
Your equation can also be written as,
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: %285x%5E2%2A%283y%5E5%29%5E%281%2F3%29%29%2A%287x%5E2%2A%289y%29%5E%281%2F3%29%29 simplifies to 35%2Ax%5E%284%29%2A%283%2Ay%5E5%29%5E%281%2F3%29%2A%289%2Ay%29%5E%281%2F3%29
  • Text form: (5x^2*(3y^5)^(1/3))*(7x^2*(9y)^(1/3)) simplifies to 35*x^(4)*(3*y^5)^(1/3)*(9*y)^(1/3)
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (5x^2*(3y^5)^(1/3))*(7x^2*(9y)^(1/3)) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION


Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29,highlight_red%28+x%5E2+%29,highlight_red%28+%283%2Ay%5E5%29%5E%281%2F3%29+%29
It becomes .

Look at .
Remove unneeded parentheses around factor highlight_red%28+7+%29,highlight_red%28+x%5E2+%29,highlight_red%28+%289%2Ay%29%5E%281%2F3%29+%29
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Reduce similar several occurrences of highlight_red%28+x%5E2+%29 to highlight_green%28+x%5E%282%2B2%29+%29
It becomes .

Look at .
Added fractions or integers together
It becomes .
Result: 35%2Ax%5E%284%29%2A%283%2Ay%5E5%29%5E%281%2F3%29%2A%289%2Ay%29%5E%281%2F3%29

Universal Simplifier and Solver


Done!


Thanks!!

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
(5x squared times the cubed root of 3y to the 5th) times (7x squared times the cubed root of 9y)

5x%5E2%28root%283%2C3y%5E5%29%29+%2A+7x%5E2%28root%283%2C9y%29%29

%285x%5E2%29+%2A+%287x%5E2%29+%2A+%28root%283%2C3y%5E5%29%29+%2A+%28root%283%2C9y%29%29

35x%5E%282%2B2%29+%2A+root%283%2C27y%5E%285%2B1%29%29

%2835x%5E4%29+%2A+%28root%283%2C27y%5E6%29%29

%2835x%5E4%29+%2A+3y%5E2

highlight_green%28105x%5E4y%5E2%29

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