Rational Exponents?

0 ⤊

Can someone work this out??
(4x^3y)^(1/2)
----------------
(9xy)^(1/2)

Thanks!

2007-02-27 00:56:17 · 2 answers · asked by La Flaca 4 in Science & Mathematics ➔ Mathematics

2 answers

(4x³y)¹/²
--------- =
(9xy)¹/²
\/(4x³y) : \/(9xy) =
\/4/9x² = 2/3x

Answer is 2/3x.
::

2007-02-27 01:03:10 · answer #1 · answered by aeiou 7 · 0⤊ 0⤋

This can easily be solved if you note that sqrt(a) / sqrt(b) is equal to sqrt(a/b).

So you have sqrt( 4(x^3)y/9xy )

The bit in the brackets simplifies very nicely.

2007-02-27 01:02:46 · answer #2 · answered by Gnomon 6 · 0⤊ 0⤋