SOLUTION: We are trying to solve these problems and aren't sure if we are doing them correctly and the formula for doing them. Our first problem was -24u4v3x5 __________ -18uv5x2

Algebra ->  Radicals -> SOLUTION: We are trying to solve these problems and aren't sure if we are doing them correctly and the formula for doing them. Our first problem was -24u4v3x5 __________ -18uv5x2      Log On


   



Question 72868: We are trying to solve these problems and aren't sure if we are doing them correctly and the formula for doing them. Our first problem was
-24u4v3x5
__________
-18uv5x2
Thank you for any help and please show us the formula you used to get the correct answer. Thank you again.

Found 3 solutions by checkley75, stanbon, jmg:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
THERE IS NO REAL FORMULAS AS SUCH BUT WHAT YOU NEED TO DO HERE IS TO FIND ALL THE COMMON FACTORS IN THE NUMERATOR & THE DENOMINATOR.
A COMMON FACTOR FOR -18 & -24 IS -6. THUS YOU SHOULD DIVIDE BOTH BY -6 & YOU GET
4/3
FACTOR THE U, V, & X THUS:
U4/U=U3
V^3/V^5=1/V^2
X^5/X^2=X^3
NOW WE PUT ALL THESE TERMS BACK TOGETHER THUS:
4U^3X^3/3V^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
-24u4v3x5
__________
-18uv5x2
===================
Rewrite with related factors:
(-24/-18)(u^4/u)(v^3/v^5)(x^5/x^2)
Reduce each fraction:
=(4/3)(u^3)(1/v^2)(x^3)
=(4/3)(u^3x^3)/(v^2)
=======
Cheers,
Stan H.

Answer by jmg(22) About Me  (Show Source):
You can put this solution on YOUR website!
You ask for a formula, I guess it would be
u^x/u^y = u^x-y
Another words you just subtract the exponents.
To solve the problem:
Simplify -24/-18 by dividing both by 6, to 4/3
u^4/u^1 = u^3 (subtract 4-1)
v^3/v^5 = v^-2 (subtract 3 - 5)
x^5 - x^2 = x^3
When you put it all together you have
(4/3)u^3v^-2x^3
Which can also be written as a fraction:
4u^3x^3
________
3v^2