a > b a,b > 0
a/b > 1
(a^m)^n = a^(mn)
a^m * a^n = a^(m + n)
a^m/a^n = a^(m - n)
12^67 / 8^77 = (3*4)^67 / (2^3)^77 = 3^67*(2^2)^67 / 2^231 = 3^67 * 2^134 / 2^231 = 3^67 / 2^97 = 3^3*3^64 / 2*2^96 = 27/2 * (3^2)^32/(2^3)^32 = 27/2 * 9^32/8^32 = 27/2 * (9/8)^32
27/2 > 1
(9/8)^32 > 1
27/2 * (9/8)^32 > 1
12^67 > 8^77
a > b a,b > 0
a/b > 1
(a^m)^n = a^(mn)
a^m * a^n = a^(m + n)
a^m/a^n = a^(m - n)
12^67 / 8^77 = (3*4)^67 / (2^3)^77 = 3^67*(2^2)^67 / 2^231 = 3^67 * 2^134 / 2^231 = 3^67 / 2^97 = 3^3*3^64 / 2*2^96 = 27/2 * (3^2)^32/(2^3)^32 = 27/2 * 9^32/8^32 = 27/2 * (9/8)^32
27/2 > 1
(9/8)^32 > 1
27/2 * (9/8)^32 > 1
12^67 > 8^77