Mathematics
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OpenStudy (anonymous):
(6^?)^-4 = 6^20
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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) ?
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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?
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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 = ??
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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
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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
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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
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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
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OpenStudy (anonymous):
thanks :D
Nnesha (nnesha):
np D: