anonymous
  • anonymous
(6^?)^-4 = 6^20
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Lady.Liv1776 @Nnesha @pooja195 Pls help
Nnesha
  • Nnesha
\[\huge\rm (6^?)^{-4} = 6^{20}\] am ir right ?
anonymous
  • anonymous
Yes

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Nnesha
  • Nnesha
exponent rule \[\huge\rm (x^m)^n=x^{m \times n}\]
anonymous
  • anonymous
m=20*(-4) ?
Nnesha
  • Nnesha
well m is missing exponent n =-4 so basically thats mean m times n = -20
anonymous
  • 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
anonymous
  • 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 ?
anonymous
  • anonymous
-4*5 right?
Nnesha
  • Nnesha
-4 times 5 = ??
anonymous
  • anonymous
is -20
Nnesha
  • Nnesha
now look at the original question is it 6^{-20} ?
anonymous
  • 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
anonymous
  • anonymous
so make them all a negative?
Nnesha
  • Nnesha
what do you mean by `all` 20 as well ?
anonymous
  • 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
anonymous
  • 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
anonymous
  • anonymous
so it s -5 then
Nnesha
  • Nnesha
yes right!
Nnesha
  • Nnesha
-4 times -5 = 20
anonymous
  • anonymous
6^-5 is right then
Nnesha
  • Nnesha
yep right
anonymous
  • anonymous
thanks :D
Nnesha
  • Nnesha
np D:

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