# Thread: Grade 11 Exponential Functions ( how to make bases even) ??

1. ## Grade 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) ?

2. ## Re: 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)

3. ## Re: 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?

4. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

Originally Posted by NewMath
i'm really confused
We are also!

5. ## Re: 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)

6. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

[QUOTE=NewMath;661313]
Originally Posted by Also sprach Zarathustra
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)

The best definition for chaos!

7. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

[QUOTE=Also sprach Zarathustra;661318]
Originally Posted by NewMath

The best definition for chaos!
still not clear?.. is there any symbols here that i can use to make it more clear?

i hope this is finally clear ( 2X^2)^3-2m times (1/ X) ^ 2m

8. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

[QUOTE=NewMath;661319]
Originally Posted by Also sprach Zarathustra

still not clear?.. is there any symbols here that i can use to make it more clear?

i hope this is finally clear ( 2X^2)^3-2m times (1/ X) ^ 2m
So it's $\displaystyle 2x^2-2m\left(\frac{1}{x}\right)^{2m}$

9. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

[QUOTE=NewMath;661319]
Originally Posted by Also sprach Zarathustra

still not clear?.. is there any symbols here that i can use to make it more clear?

i hope this is finally clear ( 2X^2)^3-2m times (1/ X) ^ 2m
$( 2x^2)^{3-2m} (\frac{1}{ x}) ^{ 2m}=2^{3-2m}x^{2(3-2m)}(\frac{1}{ x^{ 2m}}) =2^{3-2m}x^{6-4m}\frac{1}{ x^{ 2m}}=2^{3-2m}x^{6-4m}x^{-2m}=2^{3-2m}x^{6-4m-2m}=2^{3-2m}x^{6-6m}=2^32^{-2m}x^6x^{-6m}=\frac{2^3}{2^{2m}}\frac{x^6}{x^{6m}}=\frac{8}{ 2^{2m}}(\frac{x}{x^{m}})^6$

10. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

Originally Posted by NewMath
I(2x^2) ^ 3-2m x (1/ X) ^ 2m
It's not perfectly clear what is wanted. I'll give it a try.

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

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

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

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

What else?

11. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

Originally Posted by TKHunny
It's not perfectly clear what is wanted. I'll give it a try.

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

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

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

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

What else?
Thank you guys so much for putting in effort to help me. but what is wanted is the 2 bases in that question to be the same so that we can solve for the exponents Eg..(2x^2) = (1/X) how can i make them the same should i change (2x^2) to equal (1/X) or vice versa

12. ## Re: 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?

13. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

Originally Posted by TKHunny
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?
No.

14. ## Re: Grade 11 Exponential Functions ( how to make bases even) ??

Originally Posted by NewMath
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) ?
There is no equation here. Equations have an 'equals' sign.

Please learn to use latex so that we do not have to waste any more time trying to work out the question. And please post the correct and entire question.