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Mathematics 16 Online
OpenStudy (anonymous):

(6^?)^-4 = 6^20

OpenStudy (anonymous):

@Lady.Liv1776 @Nnesha @pooja195 Pls help

Nnesha (nnesha):

\[\huge\rm (6^?)^{-4} = 6^{20}\] am ir right ?

OpenStudy (anonymous):

Yes

Nnesha (nnesha):

exponent rule \[\huge\rm (x^m)^n=x^{m \times n}\]

OpenStudy (anonymous):

m=20*(-4) ?

Nnesha (nnesha):

well m is missing exponent n =-4 so basically thats mean m times n = -20

OpenStudy (anonymous):

okay i kinda get it

Nnesha (nnesha):

\[\huge\rm (6^\color{ReD}{?})^{\color{blue}{-4}} = 6^{\color{purple}{20}}\] \[\huge\rm (x^\color{Red}{m})^\color{blue}{n}=x^{\color{red}{m} \times\color{blue}{ n}} =x^{\color{purple}{mn}}\]

Nnesha (nnesha):

\(\color{blue}{\text{Originally Posted by}}\) @pielover123 m=20*(-4) ? \(\color{blue}{\text{End of Quote}}\) this should be -4 * m = 20

OpenStudy (anonymous):

Okay so -4*m which is -4m then times it by 20? which would be -80m?

Nnesha (nnesha):

why did you mutliply -4m by 20 ?

Nnesha (nnesha):

-4m =20 how would you solve for m ?

Nnesha (nnesha):

in other words m times n = 20 -4 times what = 20 ?

OpenStudy (anonymous):

-4*5 right?

Nnesha (nnesha):

-4 times 5 = ??

OpenStudy (anonymous):

is -20

Nnesha (nnesha):

now look at the original question is it 6^{-20} ?

OpenStudy (anonymous):

Im confused now sorry

Nnesha (nnesha):

let samy missing exponent is m \[\huge\rm (6^m)^{-4}=6^{m \times -4}=6^{20}\] m would be what ?

Nnesha (nnesha):

-4 times 5 = -20 but there is positive 20

OpenStudy (anonymous):

so make them all a negative?

Nnesha (nnesha):

what do you mean by `all` 20 as well ?

OpenStudy (anonymous):

yes

Nnesha (nnesha):

or you can set it like this -4m =20 solve for m

Nnesha (nnesha):

we have to prove it that left side is equal to right side we can't change the right hand side

Nnesha (nnesha):

\[\rm -4m=20\] solve for m plz

OpenStudy (anonymous):

5 right?

Nnesha (nnesha):

20/-4= ?

Nnesha (nnesha):

remember `negative ` times ` negative` = positive `negative ` divide by `negative` = positive

Nnesha (nnesha):

negative times positive = negative negative divide by positive number = negative

OpenStudy (anonymous):

so it s -5 then

Nnesha (nnesha):

yes right!

Nnesha (nnesha):

-4 times -5 = 20

OpenStudy (anonymous):

6^-5 is right then

Nnesha (nnesha):

yep right

OpenStudy (anonymous):

thanks :D

Nnesha (nnesha):

np D:

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