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100^3 : 25^3 =
(4^3 * 25^3) : 25^3 =
4^3 = 16*4 = 40 + 24 = 64
b)
2^6 * (1/2)^7 =
2^6 * 2^(-7) = 2^(-1) = 1/2
c)
(2/5)^4 * 5^4 =
2^4 * 5^(-4) * 5^4 =
2^4 = 4*4 = 16
d)
7^2 * (1/14)^2 =
7^2 * (1/2)^2 * 7^(-2) =
(1/2)^2 = 1/4