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25 March, 23:48

Simplify 2 (f^4) ^2 f^3 divided by 6f^9

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  1. 26 March, 01:35
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    ((2f^4) ^2*f^3) / (6f^9)

    pertinent rules of exponents:

    (a^b) ^c=a^ (b*c), (a^b) (a^c) = a^ (b+c), and (a^b) / (a^c) = a^ (b-c) so

    (2f^ (4*2) * f^3) / (6f^9)

    (2f^8*f^3) / (6f^9)

    (2f^ (8+3)) / (6f^9)

    (2f^11) / (6f^9)

    (2/6) (f^11/f^9)

    (1/3) (f^ (11-9)

    (1/3) (f^2)

    (f^2) / 3
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