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Mathematics 13 Online
OpenStudy (anonymous):

Simplify answer as much as possible PLEASE HELP

OpenStudy (anonymous):

OpenStudy (anonymous):

First simplify the bottom and combine the two different fractions to make one fraction.

OpenStudy (anonymous):

= (30(x^4)(a^3)) / (4(a^4)(x^2))

OpenStudy (anonymous):

That results in (7.5)(x^4)(a^3)/ (a^4)(x^2)

OpenStudy (anonymous):

So if you look at it, you have this. |dw:1405401448427:dw|

OpenStudy (anonymous):

You can then simplify by merely simplifying the fraction.

OpenStudy (anonymous):

thank you very much!

OpenStudy (astrophysics):

Multiply as you would a normal fraction, \[\frac{ 3x^4 }{ 4a^4x }\times \frac{ 10a^3 }{ x } = \frac{ 30x^4a^3 }{ 4a^4x^2 }\] \[\frac{ 30x^4a^3 }{ 4a^2x^2 } = \frac{ 15x^4a^3 }{ 2a^2x^2 }\] \[\frac{ 15x \cancel{^4} \cancel{a^3}}{ 2 a{^4} \cancel{x^2} }=\frac{ 15x^2 }{ 2a }\]

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