I'm stuck on such a teensy little thing which is make bases the same then proceding to solve for the exponents. Here is the equation i have to solve

(2x^2) ^ 3-2m x (1/ X) ^ 2m

how do i balance (2x^2) and (1/x) ?

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- Jun 20th 2011, 06:23 PMNewMathGrade 11 Exponential Functions ( how to make bases even) ??
I'm stuck on such a teensy little thing which is make bases the same then proceding to solve for the exponents. Here is the equation i have to solve

(2x^2) ^ 3-2m x (1/ X) ^ 2m

how do i balance (2x^2) and (1/x) ? - Jun 20th 2011, 06:25 PMTKHunnyRe: Grade 11 Exponential Functions ( how to make bases even) ??
First, please never use 'x' for multiplication in the same equation as 'X' for a variable. Very confusing. Look very carefully at what you have written. You became confused in the middle.

Second, 1/X = X^(-1) - Jun 20th 2011, 06:31 PMNewMathRe: Grade 11 Exponential Functions ( how to make bases even) ??
So how would i continue using X^(-1)?...sorry i'm really confused. What would i have to do to X^(-1) to make it equal (2x^2) if that's what you're saying?

- Jun 20th 2011, 06:37 PMAlso sprach ZarathustraRe: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 20th 2011, 06:45 PMNewMathRe: Grade 11 Exponential Functions ( how to make bases even) ??
[QUOTE=Also sprach Zarathustra;661312]We are also![/Q

Ok so let me present it again...sorry for the confusion

**(**2X^(exponent) 2**)**^(exponent) 3-2m * (times)**(**1/ X**)**^ (exponent) 2m

i have to make the bases which are**(2X^(exponent)**2) and**(1/ X)** - Jun 20th 2011, 06:52 PMAlso sprach ZarathustraRe: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 20th 2011, 06:59 PMNewMathRe: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 20th 2011, 07:30 PMDrexel28Re: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 20th 2011, 07:41 PMAlso sprach ZarathustraRe: Grade 11 Exponential Functions ( how to make bases even) ??
[QUOTE=NewMath;661319]$\displaystyle ( 2x^2)^{3-2m} (\frac{1}{ x}) ^{ 2m}=2^{3-2m}x^{2(3-2m)}(\frac{1}{ x^{ 2m}}) =2^{3-2m}x^{6-4m}\frac{1}{ x^{ 2m}}=2^{3-2m}x^{6-4m}x^{-2m}=2^{3-2m}x^{6-4m-2m}=2^{3-2m}x^{6-6m}=2^32^{-2m}x^6x^{-6m}=\frac{2^3}{2^{2m}}\frac{x^6}{x^{6m}}=\frac{8}{ 2^{2m}}(\frac{x}{x^{m}})^6 $

- Jun 20th 2011, 07:58 PMTKHunnyRe: Grade 11 Exponential Functions ( how to make bases even) ??
It's not perfectly clear what is wanted. I'll give it a try.

$\displaystyle (2x^{2})^{3-2m}\cdot \left(\frac{1}{x}\right)^{2m}\;=$

$\displaystyle 2^{3-2m}\cdot x^{6-4m}\cdot \left(x^{-1}\right)^{2m}\;=$

$\displaystyle 2^{3-2m}\cdot x^{6-4m}\cdot x^{-2m}\;=$

$\displaystyle 2^{3-2m}\cdot x^{6-4m-2m}$

What else? - Jun 20th 2011, 08:10 PMNewMathRe: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 21st 2011, 03:19 AMTKHunnyRe: Grade 11 Exponential Functions ( how to make bases even) ??
You're just making so little sense. Is there a similar problem that you have solved so we can see what it is you are trying to say?

- Jun 21st 2011, 06:35 PMNewMathRe: Grade 11 Exponential Functions ( how to make bases even) ??
- Jun 21st 2011, 09:42 PMmr fantasticRe: Grade 11 Exponential Functions ( how to make bases even) ??