a) (9a ^ 2 * c) ^ 2 = 81a^4c^2
b) 8x ^ 2 * (3/16 * y) = 8x ^ 2 * 3/16 * y = x ^ 2 * 3/2 * y = 3/2x ^ 2* y
c) ( 0, 1c ^ 3 * d )^ 4 = 0,1^4*c^12*d^4 = (1/10)^4*c^12*d^4 = 1/10000c^12*d^4
d) 2 1/3 * m ^ 2 * h ^ 2 * 5 1/7 * mh = 7/3 * m ^ 2 * h ^ 2 * 5 1/7 * mh = 1/3* m ^ 2 * h ^ 2 *5mh = 5/3h^3m^3
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Answers & Comments
a) (9a ^ 2 * c) ^ 2 = 81a^4c^2
b) 8x ^ 2 * (3/16 * y) = 8x ^ 2 * 3/16 * y = x ^ 2 * 3/2 * y = 3/2x ^ 2* y
c) ( 0, 1c ^ 3 * d )^ 4 = 0,1^4*c^12*d^4 = (1/10)^4*c^12*d^4 = 1/10000c^12*d^4
d) 2 1/3 * m ^ 2 * h ^ 2 * 5 1/7 * mh = 7/3 * m ^ 2 * h ^ 2 * 5 1/7 * mh = 1/3* m ^ 2 * h ^ 2 *5mh = 5/3h^3m^3