Exponent simplification

**Greymalkin** · November 19th 2012, 07:38 AM

should be easy(for you):
$\frac{8}{27}(\frac{9}{4}x-\frac{5}{4})^\frac{3}{2}$

becomes

$\frac{1}{27}(9x-5)^\frac{3}{2}$

through what operations?

**Prove It** · November 19th 2012, 07:47 AM

Originally Posted by Greymalkin

should be easy(for you):
$\frac{8}{27}(\frac{9}{4}x-\frac{5}{4})^\frac{3}{2}$

becomes

$\frac{1}{27}(9x-5)^\frac{3}{2}$

through what operations?

$\displaystyle \begin{align*} \frac{8}{27} \left( \frac{9}{4} \, x - \frac{5}{4} \right) ^{\frac{3}{2}} &= \frac{8}{27} \left( \frac{9x - 5}{4} \right)^{\frac{3}{2}} \\ &= \frac{8}{27} \frac{\left( 9x - 5 \right)^{\frac{3}{2}}}{4^{\frac{3}{2}}} \\ &= \frac{8}{27} \frac{\left( 9x - 5 \right)^{\frac{3}{2}}}{\left( 4^{\frac{1}{2}} \right)^3} \\ &= \frac{8}{27} \frac{\left( 9x - 5 \right)^{\frac{3}{2}}}{2^3} \\ &= \frac{8}{27} \frac{\left( 9x - 5 \right)^{\frac{3}{2}}}{8} \\ &= \frac{1}{27} \left( 9x - 5 \right)^{\frac{3}{2}} \end{align*}$

**RBowman** · November 19th 2012, 07:52 AM

Hi Grey.

8/27 * (9/4 x - 5/4) ^ 3/2 =
8/27 * [1/4 (9 x - 5)] ^ 3/2 =
8/27 * (1/4) ^ 3/2 * (9 x - 5) ^ 3/2 =
8/27 * 1/8 * (9 x - 5) ^ 3/2 =
1/27 * (9 x - 5) ^ 3/2.

Hope that helps. I'll learn to typeface soon. I'm still new to the forum.

**Prove It** · November 19th 2012, 07:57 AM

Originally Posted by RBowman

Hi Grey.

8/27 * (9/4 x - 5/4) ^ 3/2 =
8/27 * [1/4 (9 x - 5)] ^ 3/2 =
8/27 * (1/4) ^ 3/2 * (9 x - 5) ^ 3/2 =
8/27 * 1/8 * (9 x - 5) ^ 3/2 =
1/27 * (9 x - 5) ^ 3/2.

Hope that helps. I'll learn to typeface soon. I'm still new to the forum.

Hopefully you'll learn to type faster as well, I beat you by a full five minutes, even when using LaTeX :P lol

**RBowman** · November 19th 2012, 08:02 AM

I am a bit jealous. You wanna help by pointing me to best thread in the forum for users getting started with LaTeX? I'm also slow when it comes to finding things on my own.

**Prove It** · November 19th 2012, 08:03 AM

Look in the LaTeX help subforum on this site.

**RBowman** · November 19th 2012, 08:04 AM

Found it. Thanks Prove It.

Thread: Exponent simplification

LinkBack

Thread Tools

Display

Exponent simplification

Re: Exponent simplification

Re: Exponent simplification

Re: Exponent simplification

Re: Exponent simplification

Re: Exponent simplification

Re: Exponent simplification

Similar Math Help Forum Discussions

Exponent, to a negative exponent. Stroud problem.

Simple Exponent Transformation/simplification

Negative radical exponent simplification

fractional exponent simplification

simplify by eliminating the zero exponent & negative exponent

Search Tags