(2c^2 d^6)^4 (c^5d5/ 4c^2d^1) ^2

Algebra
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simplifiy the expression

May 3rd, 2015

(2c^2 d^6)^4 (c^5d5/ 4c^2d^1) ^2

(2^4c^(2*4) d ^(6*4) ) ( c^(5*2 ) d^ (5*2)) / 4 ^ 2 c^ (2 *2) d^(1*2))

=(16 c^(8) d ^(24) ) ( c^(10) d^ (10)) / 16 c^ (4) d^(2))

=(16 c^(8) d ^(24) ) ( c^(10-4) d^ (10-2)) / 16)
=(16 c^(8) d ^(24) ) ( c^(6) d^ (8) / 16)
 (c^(8) d ^(24) ) ( c^(6) d^ (8))...........       (16 is cancelled in numeratr and denominatr)
=(c^(8+6) d ^(24+8) 
=c^14 d^ 32...............................................ANSWER

ANSWER IS     c^14 d^ 32...........................................

hope you understood..please message if you have any doubts...thank you

May 3rd, 2015

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