anonymous
  • anonymous
MEDAL = FAN What value of c solves the equation?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Nnesha
  • Nnesha
remember this exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^{-m} }\] if there is negative exponent then you should `flip` the fraction.
anonymous
  • anonymous
what do you men by flip the fraction?

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anonymous
  • anonymous
mean**
freckles
  • freckles
I know it was just a type-o :p \[x^{-m}=\frac{1}{x^{\color{red}m}}\]
Nnesha
  • Nnesha
like in this example x^{-m} is same as x^{-m} over one \[\huge\rm \frac{ x^{-m }}{ 1 }= \frac{ 1 }{ x^m }\] in other words reciprocal of x^{-m}/1 is 1/x^m
Nnesha
  • Nnesha
2/3 when you flip it you will get 3/2 right ?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
So if I flip, I will get \[\frac{ 16 }{ 1 }\]
anonymous
  • anonymous
If that's what you mean
Nnesha
  • Nnesha
that's exactly how u should flip the fraction but i meant to say that c should be negative so that's 4^c is equal to 1 over 16
Nnesha
  • Nnesha
\[\huge\rm \frac{ 4^{-c} }{ 1 }= \frac{ 1 }{ 16 }\] \[\frac{ 4^{-c} }{ 1 } = ?\]
anonymous
  • anonymous
And how do i figure out 4-^c?
Nnesha
  • Nnesha
let's do the other way \[\huge\rm 4^c =16\] reciprocal of 1/6 is 16 now 4 to the what power = 16?
Nnesha
  • Nnesha
1/16**
anonymous
  • anonymous
the 3rd?
Nnesha
  • Nnesha
4^3 is same 4 times 4 times 4 which is not equalto 16
anonymous
  • anonymous
my mistake, 4^2.
anonymous
  • anonymous
does c = 2?
Nnesha
  • Nnesha
actually my bad first we write it in exponent form and then we should flip it i'm sorry \[\huge\rm 4^c=\frac{ 1 }{ 4^2 }\] now flip the fraction when you do that sign would change
Nnesha
  • Nnesha
\[\huge\rm 4^c= 4^{-2}\] now cancel out 4
anonymous
  • anonymous
C=-2?
Nnesha
  • Nnesha
yes right
Nnesha
  • Nnesha
now just to check ur answer substitute c for -2 \[\frac{ 4^{-2} }{ 1 }=\frac{ 1 }{ 16 }\]both sides re equal good to go! remember there is negative exponent so don't forget to flip the fraction :P

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