anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@phi
phi
  • phi
\[ \frac{12^3}{12^7} \] any idea what \[ \frac{12}{12} \] is ?
anonymous
  • anonymous
12/12 would equal to 1 right?

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phi
  • phi
yes. as you know , when you multiply fractions you multiply top times top and bottom times bottom, right ?
anonymous
  • anonymous
ya top and top bottom and bottom
phi
  • phi
\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12}\] do you see that is 12^3 / 12^7 ?
anonymous
  • anonymous
yes
phi
  • phi
do you also see the first part can be simplified? something divided by itself is what ?
anonymous
  • anonymous
hmm
anonymous
  • anonymous
i dont see what can be divided
phi
  • phi
or perhaps you should notice \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} = \frac{12}{12} \cdot \frac{12}{12} \cdot \frac{12}{12}\]
anonymous
  • anonymous
mmmm
anonymous
  • anonymous
if they got multiplied together and divided? maybe??
phi
  • phi
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?
anonymous
  • anonymous
12/12 simplified is 1
phi
  • phi
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
anonymous
  • anonymous
ohhh
anonymous
  • anonymous
ok
phi
  • phi
so simplify \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12} \]
anonymous
  • anonymous
1/12^4?
anonymous
  • anonymous
because the 4 12?
phi
  • phi
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
anonymous
  • anonymous
alrighty:D
anonymous
  • anonymous
and im taking it as 1/12^4 is the answer also?
phi
  • phi
the short cut is subtract top exponent minus bottom exponent \[ \frac{12^3}{12^7} = 12^{3-7} = 12^{-4} = \frac{1}{12^4} \]
anonymous
  • anonymous
ohhhh
anonymous
  • anonymous
let me take a pic of thats because thats useful
anonymous
  • anonymous
ok thats it
anonymous
  • anonymous
let me submmit it
anonymous
  • anonymous
your the best we got a 100%
anonymous
  • anonymous
thanks man your the best if i could rate you id give u a million stars xD
phi
  • phi
yw
anonymous
  • anonymous
OK THANKS MAN BYE!!

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