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January 20th, 2016, 05:07 PM   #1
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Exponent help

Hi I have this one math problem and it's really hard. I got an answer but it's probably wrong. Can someone please solve it and tell me what you get. I want to compare it to my answer Thanks. Here it is:

(2(squared) a(to the -1 power) b(to the -3 power) c) the -2 power

divided by 8( to the -1 power) ab( to the -5 power) c(to the 0 power)

*In the first line, all the terms from 2 to c are in parentheses and the -2 exponent is on the outside of the parentheses
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January 20th, 2016, 05:34 PM   #2
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Do you mean

$\displaystyle \dfrac{\left(2^2\cdot a^{-1}\cdot b^{-3}\cdot c\right)^{-2}}{8^{-1}\cdot(a\cdot b)^{-5} \cdot c^0}$

?

Last edited by skipjack; January 20th, 2016 at 05:49 PM.
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January 20th, 2016, 05:38 PM   #3
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No, sorry, it's a little different; how did you type the exponents?

The exponent the a and b below the fraction bar are not in the same parentheses but other than that, yes that is what I meant.

Please solve if you get a chance. I really appreciate your help. Thanks.

Last edited by skipjack; January 20th, 2016 at 05:51 PM.
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January 20th, 2016, 05:44 PM   #4
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I used LaTeX. Typing [math]2^{2}[/math] gives $\displaystyle 2^2$.

Typing [math]\dfrac{4}{3}[/math] gives $\displaystyle \dfrac{4}{3}$.

Typing [math]\dfrac{4}{3}+2^{2}[/math] gives $\displaystyle \dfrac{4}{3}+2^{2}$.
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January 20th, 2016, 05:51 PM   #5
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$\displaystyle \dfrac{\left(2^2\cdot a^{-1}\cdot b^{-3}\right)^{-2}}{8^{-1}\cdot a\cdot b^{-5}\cdot c^0}$

Like that?

I get $\displaystyle \dfrac12ab^{11}$.
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January 20th, 2016, 05:56 PM   #6
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Thank you so much. The only thing was you forgot the c in the parentheses above the fraction bar but that's okay. Thank you so much. I really appreciate it
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January 20th, 2016, 05:57 PM   #7
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Quote:
Originally Posted by hhmathgeek View Post
I got an answer . . .
If you post your working, we can identify any mistake(s) you have made or confirm that your answer is correct.
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January 20th, 2016, 06:00 PM   #8
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Quote:
Originally Posted by hhmathgeek View Post
The only thing was you forgot the c in the parentheses above the fraction bar...
Yep.

$\displaystyle \dfrac{\left(2^2\cdot a^{-1}\cdot b^{-3}\cdot c\right)^{-2}}{8^{-1}\cdot a\cdot b^{-5}\cdot c^0}=\dfrac12ab^{11}c^{-2}=\dfrac{ab^{11}}{2c^2}$
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January 20th, 2016, 06:03 PM   #9
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Thank you so much. My answer was sort of similar but not quite
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January 20th, 2016, 06:05 PM   #10
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Why don't you post your work? We can help you better if you do that.
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