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Mathematics 21 Online
OpenStudy (anonymous):

how do I 5x-4 expontent

OpenStudy (calculusxy):

What will be the answer to this equation so that you can find the value of x

OpenStudy (mathlegend):

So is it.. \[5x ^{-4}\]

OpenStudy (calculusxy):

Since you don't know the answer to this equation so that you can find the value of x, you can still do one way that can be possible. I will only tell you the formula or the procedure to doing the formula. Since you have 5x-4, you have to find the sum of the 5 (a+b) and the product of -4 (a*b). However, the number that you first apply to finding -4 as the product, will have to add up to positive 5. Another formula that I can show you is an example of (x*a)(x*b). The complete equation will have to be solved using somewhat the dristibutive property. So you have to have the equation first enhanced as (x^2)(bx)(ax)(ab). It seems pretty complicated but once you look at the equation you will notice that the x and the a is being distributed among the x and the b. Also to make this equation seem shorter and this will be the final way to writing the equation, you have to write it like x^2+(a+b)x+ab.

OpenStudy (anonymous):

@MathLegend yes

OpenStudy (calculusxy):

Ok so now I got the meaning that you are talking about. So the formula will be a -4 (exponential form) and then it will have to be 1/a -4(exponential form). So to do this you will have to multiply 5x by 1/a -4. Hope you understand. Tell me if you have any confusion.

OpenStudy (anonymous):

so I just multiply 5 by 4 and I get my answer

OpenStudy (mathlegend):

If you want to simplify that... the negative exponent would go to the denominator.

OpenStudy (mathlegend):

@theatreliver this is Algebra 1, correct?

OpenStudy (anonymous):

yes @MathLegend

OpenStudy (mathlegend):

Okay, then yes... since you have \[x ^{-4}\]

OpenStudy (mathlegend):

That whole thing goes to the denominator making the exponent positive.

OpenStudy (mathlegend):

Leaving you with ... \[\frac{ 5 }{ x ^{4} }\]

OpenStudy (mathlegend):

It is just knowing the rules of exponents. :D

OpenStudy (anonymous):

Thank you @MathLegend :)

OpenStudy (calculusxy):

Yes you are right the negative exponent goes along with the 5x. So you have to multiply 5x by the exponent and times of -4. Since it will be 1/5x -4(exponent). I believe this formula is correct right?

OpenStudy (mathlegend):

No problem :D

OpenStudy (mathlegend):

Honestly, @calculusxy, I do not know of a formula that is used for this.

OpenStudy (calculusxy):

Well I have learned this formula recently and this is make the negative powers to the positive.

OpenStudy (calculusxy):

So lets say we have like three numbers with negative exponents, you just have to multiply all of them out and get the answer to a positive exponent.

OpenStudy (calculusxy):

I believe this is right. I am a new learner so just asking if it is?

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