Question

Please please please help!Will fan and medal!!

Question attached in comments!!

(Sidenote: My calculator is busted so what I can do is limited to whether or not a calculator is needed.)

Answer 1

Simply plug in -1 for x in your f(x) function which is \[f(x) = 4^x\]

Answer 2

I don't have a calculator to plug it in and keep messing up on my paper ;-;

Answer 3

and here is the place value

Answer 4

Oh oh oh! so we're just moving the decimal from \[4.\] to \[40.\] ?

Answer 5

If you plug in -1 what do you get for your value? You don't need a calculator

Answer 6

40 right? because it moves the decimal one place to the right since it's negative ;-; or are you wanting \[f(-1)=4^-1\]

Answer 7

Remember your exponent rules \[\huge x^{-n} = \frac{ 1 }{ x^n }\] right?

Answer 8

Ring a bell? It's ok, but that's a general rule for negative exponents, so we have \[f(-1) = 4^{-1} \implies \frac{ 1 }{ 4 }\]

Answer 9

how did you do a negative exponent? I couldn't. but why does negative one make a positive fraction?

Answer 10

Well the way to think about it is..exponents tell you how many time you multiply something by itself right? So if you have a negative exponent you are initially dividing :)

Answer 11

Put this in decimals and you should be good to go!

Answer 12

i get .25

Answer 13

But it says to the nearest thousandth @Astrophysics

Answer 14

add a 0

Answer 15

.025 or .250 @Astrophysics (Sorry for the late replies my os is lagging

Answer 16

Hey, it wouldn't be 0.025 right? That's totally different