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anonymous
 one year ago
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
anonymous
 one year ago
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

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phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{12^3}{12^7} \] any idea what \[ \frac{12}{12} \] is ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.012/12 would equal to 1 right?

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes. as you know , when you multiply fractions you multiply top times top and bottom times bottom, right ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ya top and top bottom and bottom

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12}\] do you see that is 12^3 / 12^7 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1do you also see the first part can be simplified? something divided by itself is what ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont see what can be divided

phi
 one year ago
Best ResponseYou've already chosen the best response.1or 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
 one year ago
Best ResponseYou've already chosen the best response.0if they got multiplied together and divided? maybe??

phi
 one year ago
Best ResponseYou've already chosen the best response.1the 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
 one year ago
Best ResponseYou've already chosen the best response.012/12 simplified is 1

phi
 one year ago
Best ResponseYou've already chosen the best response.1and 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

phi
 one year ago
Best ResponseYou've already chosen the best response.1so simplify \[ \frac{12\cdot 12\cdot 12}{12\cdot 12\cdot 12} \cdot \frac{1}{12\cdot 12\cdot 12\cdot 12} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1and 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
 one year ago
Best ResponseYou've already chosen the best response.0and im taking it as 1/12^4 is the answer also?

phi
 one year ago
Best ResponseYou've already chosen the best response.1the short cut is subtract top exponent minus bottom exponent \[ \frac{12^3}{12^7} = 12^{37} = 12^{4} = \frac{1}{12^4} \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let me take a pic of thats because thats useful

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0your the best we got a 100%

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks man your the best if i could rate you id give u a million stars xD
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