Question

MEDAL = FAN
What value of c solves the equation?

Answer 1

remember this exponent rule \[\huge\rm x^{-m}=\frac{ 1 }{ x^{-m} }\]
if there is negative exponent then you should `flip` the fraction.

Answer 2

what do you men by flip the fraction?

Answer 3

mean**

Answer 4

I know it was just a type-o :p
\[x^{-m}=\frac{1}{x^{\color{red}m}}\]

Answer 5

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

Answer 6

2/3 when you flip it you will get 3/2 right ?

Answer 7

Yes.

Answer 8

So if I flip, I will get \[\frac{ 16 }{ 1 }\]

Answer 9

If that's what you mean

Answer 10

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

Answer 11

\[\huge\rm \frac{ 4^{-c} }{ 1 }= \frac{ 1 }{ 16 }\]
\[\frac{ 4^{-c} }{ 1 } = ?\]

Answer 12

And how do i figure out 4-^c?

Answer 13

let's do the other way
\[\huge\rm 4^c =16\]
reciprocal of 1/6 is 16
now 4 to the what power = 16?

Answer 14

1/16**

Answer 15

the 3rd?

Answer 16

4^3 is same 4 times 4 times 4 which is not equalto 16

Answer 17

my mistake, 4^2.

Answer 18

does c = 2?

Answer 19

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

Answer 20

\[\huge\rm 4^c= 4^{-2}\] now cancel out 4

Answer 21

C=-2?

Answer 22

yes right

Answer 23

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