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Algebra 21 Online
OpenStudy (anonymous):

Choose the correct simplification of the expression

OpenStudy (anonymous):

\[\frac{ g^{5} h ^{4}}{ g ^{2} h ^{3}}\]

OpenStudy (anonymous):

g7h g3h g7h7 \[\frac{ g ^{3} }{ h ^{7}}\]

OpenStudy (anonymous):

@satellite73 Can you help? :S

OpenStudy (hunus):

\[\frac{x^{m}}{x^{n}} = x^{m-n}\] \[\frac{g^5h^4}{g^2h^3}=(\frac{g^5}{g^2})(\frac{h^4}{h^3})\]

OpenStudy (anonymous):

what is the next step?

OpenStudy (hunus):

When you're dividing two variables raised to different powers you subtract the top one from the bottom one. For example: \[\frac{x^7}{x^3} = x^{7-3} = x^{4}\] So do that with g and h

OpenStudy (austinl):

Still need help?

OpenStudy (dmnts):

The correct expression is \[g ^{3}h\]

OpenStudy (anonymous):

\[\frac{ g ^{5}h ^{4} }{ g ^{2}h ^{3} }=g ^{5}h ^{4}g ^{-2}h ^{-3}=g ^{5-2}h ^{4-3}=g ^{3 }h ^{}\]

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