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  #1 (permalink)  
Old 08-11-2007, 05:51 PM
mstcrow5429 mstcrow5429 is offline
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Default Negative Exponentials

Why does 4p to the -3rd power equal 4/p to the third power when simplified, and not 1/4p to the third power?

Edit: Nevermind, I think I got it, sort of.
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DSST: Ethics in Am. (76), P. of Super.(67), HRM (65), Intro to Bus. (70), MIS (65), P. of Fin (62), M&B (65), P. of Stat. (68)
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Last edited by mstcrow5429 : 08-11-2007 at 05:53 PM.
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Old 08-11-2007, 06:31 PM
mstcrow5429 mstcrow5429 is offline
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Is 3 to the -2 power positive or negative 9? Why?
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Excelsior, BS Finance, pursuing degree

Studying:

Completed:
CLEP: Hum. (67), Hist. of U.S. I (74), Hist. of U.S. II (71), Intro. Psych. (69), Intro. Soc. (72), Soc. Sci. and Hist. (74), Western Civ I (72), Western Civ II (70), Am. Lit. (60), Intro. to Educ. Psych. (62), P. of Management (74), P. of Market. (74), Intro. Bus. Law (67), P. of Accounting (60), AmGov (68)
DSST: Ethics in Am. (76), P. of Super.(67), HRM (65), Intro to Bus. (70), MIS (65), P. of Fin (62), M&B (65), P. of Stat. (68)
ECE: OB (B)

Total Credits: 108
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Old 08-12-2007, 12:44 AM
Blue Blue is offline
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it's neither...

the answer would be positive 1/9...
because the negative inverses the 3 to 1/3 and then when you apply the exponent (which is 2) to the 1/3 so...

3^-2 = (1/3)^2 = (1/3)*(1/3) = 1/9

does that help? =]
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Old 08-12-2007, 11:49 AM
Kiwi Lover Kiwi Lover is offline
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Quote:
Originally Posted by Blue
because the negative inverses the 3 to 1/3 and then when you apply the exponent (which is 2) to the 1/3 so...

3^-2 = (1/3)^2 = (1/3)*(1/3) = 1/9
Could y'all start speaking in English now??
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Old 08-12-2007, 03:24 PM
Blue Blue is offline
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hahaha sorry! =D

let's see if i can translate it better by typing steps:

original problem: 3 to the -2 power aka "3^-2"
1) due to the negative power, you flip the 3 upside down so it becomes 1/3
2) then you apply the exponent to it: 1/3 to the 2nd power
3) 1/3 to the 2nd power is bascially the same thing as 1/3 times 1/3
4) which equals to positive 1/9


does that explanation help? sorry, i wish i could write it out for you on paper b/c i'm sure it'd make more sense than on the computer =]
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Old 08-12-2007, 05:04 PM
mstcrow5429 mstcrow5429 is offline
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Quote:
Originally Posted by Blue
it's neither...

the answer would be positive 1/9...
because the negative inverses the 3 to 1/3 and then when you apply the exponent (which is 2) to the 1/3 so...

3^-2 = (1/3)^2 = (1/3)*(1/3) = 1/9

does that help? =]

I think the text has it wrong then...
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Excelsior, BS Finance, pursuing degree

Studying:

Completed:
CLEP: Hum. (67), Hist. of U.S. I (74), Hist. of U.S. II (71), Intro. Psych. (69), Intro. Soc. (72), Soc. Sci. and Hist. (74), Western Civ I (72), Western Civ II (70), Am. Lit. (60), Intro. to Educ. Psych. (62), P. of Management (74), P. of Market. (74), Intro. Bus. Law (67), P. of Accounting (60), AmGov (68)
DSST: Ethics in Am. (76), P. of Super.(67), HRM (65), Intro to Bus. (70), MIS (65), P. of Fin (62), M&B (65), P. of Stat. (68)
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Old 08-12-2007, 06:40 PM
Blue Blue is offline
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what does your textbook say?

i'm pretty sure 3 to the -2 power is equal to 1/9 because i checked with my TI-83+ calculator. both equal to 0.1111...does your text have an explanation?
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Old 08-12-2007, 06:50 PM
mstcrow5429 mstcrow5429 is offline
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I checked it on my TI-85, got the same answer you did. I can't find it in the text, it's possible I took it out of an equation at some point.
__________________
Excelsior, BS Finance, pursuing degree

Studying:

Completed:
CLEP: Hum. (67), Hist. of U.S. I (74), Hist. of U.S. II (71), Intro. Psych. (69), Intro. Soc. (72), Soc. Sci. and Hist. (74), Western Civ I (72), Western Civ II (70), Am. Lit. (60), Intro. to Educ. Psych. (62), P. of Management (74), P. of Market. (74), Intro. Bus. Law (67), P. of Accounting (60), AmGov (68)
DSST: Ethics in Am. (76), P. of Super.(67), HRM (65), Intro to Bus. (70), MIS (65), P. of Fin (62), M&B (65), P. of Stat. (68)
ECE: OB (B)

Total Credits: 108
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