Simplify the expression?

Question

(4cd ^4)(8cd ^ 6) ^4

Answer 1

(2^5 c^2 d^10)^4
= 2^20 c^8 d^40.

Answer 2

(4cd ^4)(8cd ^ 6) ^4
(4cd^4)(8cd ^ 6)(8cd ^ 6)(8cd ^ 6)(8cd ^ 6)
(4cd^4)(64c^2d^12)(64c^2d^12)
(4cd^4)(4096c^424)
16384c^5d^28



I assume you can't simplify both expressions together because you have the 4th power in the 2nd expression that doesn't include the 1st expression.

Answer 3

= 4 x c x d^4 x 8^4 x c^4 x d^24
= (4 x 8^4) x c^5 x d^28
= (16384).c^5.d^28

Answer 4

= 2^2*c*d^4*2^12*c^4*d^24
=2^14*c^5*d^28

=(2^14)* (cd)^5 *(d)^23