Simplifying a fractional base to exponent

**Kataangel** · October 27th 2009, 07:50 PM

Hi is there any way I can simplify this large expression?

$\displaystyle{\frac{1}{3}\displaystyle{(}\frac{450 0-x^2}{2}\displaystyle{)}^{-\frac{2}{3}}}$

I get three fraction bars if I change the exponent so I tried to multiply the 3 inside the denominator. I'm just wondering if there's a better or any further way I can do and take this?

**pickslides** · October 27th 2009, 08:09 PM

Not sure if this is any simplier but

$\frac{1}{3}\sqrt[3]{\frac{4}{(4500-x^2)^2}}$

**Kataangel** · October 27th 2009, 08:44 PM

Originally Posted by pickslides

Not sure if this is any simplier but

$\frac{1}{3}\sqrt[3]{\frac{4}{(4500-x^2)^2}}$

Thanks! If I multiply the surd-fraction into the top of 1/3, is there a way I can get rid of the denominator 3?

**pickslides** · October 27th 2009, 08:52 PM

I'm not understanding. The one third did not have a fractional exponent.

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