Question

Simplify 11 to the negative 4th power over 11 to the 8th power.
1 over 11 to the 12th power
1 over 11 to the 4th power
114
1112

Answer 1

@phi

Answer 2

\[ \frac{11^{-4} }{11^8} \]

Answer 3

yup

Answer 4

can you rewrite the 11^-4 so we get a +4 ? (remember how to do that ?)

Answer 5

yes we flip

Answer 6

i think it would be 1/11^4

Answer 7

yes. so we now have
\[ \frac{1}{11^4} \cdot \frac{1}{11^8} = \frac{1}{11^4\cdot 11^8}\]

Answer 8

yup

Answer 9

11^4 means 11* 11*11*11
11^8 means 11*11*11*11* 11*11*11*11
what do we get when we multiply that all together?

Answer 10

121

Answer 11

?

Answer 12

you said when we multiply it together?

Answer 13

I don't mean multiply it out and get a number. just show them being multiplied
like this
11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

Answer 14

oh woops lol sorry

Answer 15

people use exponents to write that in short-hand. can you ?

Answer 16

umm idk what short hand is

Answer 17

we have 11 times itself how many times ?
11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

Answer 18

12 times

Answer 19

and how do we show that using exponents?

Answer 20

11^12?

Answer 21

yes. notice that is easier to type than
11* 11*11*11 * 11* 11*11*11* 11* 11*11*11

Answer 22

way easier

Answer 23

ohhh thats the answer to

Answer 24

so here is what you have
\[ \frac{11^{-4} }{11^8}= \frac{ 1}{11^{4}\cdot 11^8}= \frac{1}{11^{12}} \]

Answer 25

yup

Answer 26

you should notice that 11^4 * 11^8 means
11* 11*11*11 * 11* 11*11*11* 11* 11*11*11
but it is faster to say: 4 11's and 8 11's is 12 11's

in other words, notice the short cut: 4+8 =12
11^4 * 11^8 = 11^12

Answer 27

mmmhhh

Answer 28

it takes up space ifyou write it out also

Answer 29

the thing you should try to remember is when multiplying, you can add the exponents. that is the short cut they want you to learn.

Answer 30

oh

Answer 31

ok

Answer 32

so the answer is 1/11^12

Answer 33

yes

and if they were being trick the answer could also be
11^(-12)

Answer 34

yuppp

Answer 35

thanks again and i have like 2 or 3 more if you can still help it would be great

Answer 36

new post

Answer 37

ok