Question

Simplify 12 to the 3rd over 12 to the 7th.
12^4
1 over 12 to the 4th
1 over 12 to the negative 4th
12^10

Answer 1

@phi

Answer 2

\[ \frac{12^3}{12^7} \]
any idea what \[ \frac{12}{12} \] is ?

Answer 3

12/12 would equal to 1 right?

Answer 4

yes.
as you know , when you multiply fractions you multiply top times top and bottom times bottom, right ?

Answer 5

ya top and top bottom and bottom

Answer 6

\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12}\]

do you see that is 12^3 / 12^7 ?

Answer 7

yes

Answer 8

do you also see the first part can be simplified? something divided by itself is what ?

Answer 9

hmm

Answer 10

i dont see what can be divided

Answer 11

or perhaps you should notice
\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} = \frac{12}{12} \cdot \frac{12}{12} \cdot \frac{12}{12}\]

Answer 12

mmmm

Answer 13

if they got multiplied together and divided? maybe??

Answer 14

the right side, if you multiply tops you get 12*12*12
and ditto for the bottom. both sides mean the same thing
but what is 12/12 if you simplify first?

Answer 15

12/12 simplified is 1

Answer 16

and what is 1*1*1?
it is 1
\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} = \frac{12}{12} \cdot \frac{12}{12}\cdot \frac{12}{12}
= 1 \cdot 1 \cdot 1 \]

(12*12*12)/(12*12*12) is an example of something (in this case 12*12*12) divided by itself. you get 1

Answer 17

ohhh

Answer 18

ok

Answer 19

so simplify
\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12} \]

Answer 20

1/12^4?

Answer 21

because the 4 12?

Answer 22

and the first part (12*12*12)/(12*12*12) is just 1 and when we multiply by 1 we can ignore it.
so yes
1/12^4

Answer 23

alrighty:D

Answer 24

and im taking it as 1/12^4 is the answer also?

Answer 25

the short cut is subtract top exponent minus bottom exponent
\[ \frac{12^3}{12^7} = 12^{3-7} = 12^{-4} = \frac{1}{12^4} \]

Answer 26

ohhhh

Answer 27

let me take a pic of thats because thats useful

Answer 28

ok thats it

Answer 29

let me submmit it

Answer 30

your the best we got a 100%

Answer 31

thanks man your the best if i could rate you id give u a million stars xD

Answer 32

yw

Answer 33

OK THANKS MAN BYE!!