3x4=12
12 to the power of two = 144
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9 x 64 = 576 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
30 x 22 = 1 x 4 = 4
(10)3 x (2)2 = 1,000 x 4 = 4,000
4^2 = 16 4^3 = 64 16^5 = 16 x 16 x 16 x 16 x 16 = 256 x 256 x 16 = 1048576 You cannot add the powers in addition operation, but can in multiplication operation. Thus 4^2 x 4^3 = 4^5 = 1024 When a number is written to a power, it is multiplying by itself the power number of times. Thus: 4^2 = 4 x 4 4^3 = 4 x 4 x 4 and: 4^2 x 4^3 = (4 x 4) x (4 x 4 x 4) = 4 x 4 x 4 x 4 x 4 = 4^5 = 4^(2+3)
3x^4 - 12 = 3(x^4 - 4) = 3(x² + 2)(x² - 2)