Exponants and radicals

Anotherstudent

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Sep 4, 2013
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Hi people, please I could use some help with this following math problem.
I have to simplify and express the next expression without any negative exponants.

8-3a-1c2 multiply by (1/2)4ac-3

I know the answer is 2^13c but I can't figure how the heck to get there. Tyvm for your help
 
Hi people, please I could use some help with this following math problem.
I have to simplify and express the next expression without any negative exponants.

8-3a-1c2 multiply by (1/2)4ac-3

I know the answer is 2^13c but I can't figure how the heck to get there. Tyvm for your help
You get rid of the negative exponents by writing them as denominators of fractions: 83a1c2=c283a\displaystyle 8^{-3}a^{-1}c^2= \dfrac{c^2}{8^3a} and (1/2)4ac3=a24c3\displaystyle (1/2)^4ac^{-3}= \dfrac{a}{2^4c^3}. Multiply those. (It is 1213c\displaystyle \dfrac{1}{2^{13}c} NOT 213c\displaystyle 2^{13}c.)
 
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