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Mathematics 8 Online
OpenStudy (matt6288):

14ab^3/7a^-2b^-1

OpenStudy (mertsj):

\[\frac{14ab ^{3}}{7a ^{-2}b ^{-1}}\]

OpenStudy (matt6288):

yes

OpenStudy (mertsj):

Hang on a sec

OpenStudy (matt6288):

k

OpenStudy (mertsj):

\[2a ^{3}b ^{4}\]

OpenStudy (matt6288):

thx

OpenStudy (mertsj):

Do you understand?

OpenStudy (matt6288):

can you explain?

OpenStudy (mertsj):

The factors that are in the denominator have negative exponents (except for the 7) When you move them to the numerator, you change the exponents to positive.

OpenStudy (mertsj):

\[\frac{1}{a ^{-n}}=a ^{n}\]

OpenStudy (mertsj):

\[\frac{a}{a ^{-2}}=a(a ^{2})=a ^{3}\]

OpenStudy (matt6288):

a^3b^3c/1^-3b^-3c^-1

OpenStudy (matt6288):

would it be a^6b^6c^2?

OpenStudy (mertsj):

And\[\frac{b ^{3}}{b ^{-1}}=b ^{3}b ^{1}=b ^{4}\]

OpenStudy (mertsj):

\[\frac{a ^{3}b ^{3}c}{1^{-3}b ^{-3}c ^{-1}}\]

OpenStudy (mertsj):

Is that the problem?

OpenStudy (mertsj):

or is there a typo?

OpenStudy (matt6288):

ya

OpenStudy (matt6288):

thats the problem

OpenStudy (mertsj):

So the denominator contains 1^-3?

OpenStudy (matt6288):

and my answer is A^6b^6c^2

OpenStudy (matt6288):

ya

OpenStudy (mertsj):

yes. If that is a^-3 in the denominator instead of 1^-3

OpenStudy (matt6288):

thx :) i get it now

OpenStudy (mertsj):

yw

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