Arrange the following numbers in increasing order (smallest first, biggest last):A = 2*1/2*4*1/6
B = 12*128
C = 1*8*1/5^2
D = 4*(-1)/2*(-1)*8*(-1)
E = 3*2^(1/2)*4*1/4
Here are the numbers in increasing order:
1. C = 1 * 8 * 1 / 5 ** 2 = 0.6666666666666666
2. D = 4 * (-1) / 2 * (-1) * 8 * (-1) = -16.0
3. A = 2 * 1 / 2 * 4 * 1 / 6 = 0.32
4. E = 3 * 2 ** (1 / 2) * 4 * 1 / 4 = 4.242640687119286
5. B = 12 * 128 = 1536
To calculate these values, I first simplified each expression using PEMDAS. Then, I performed the multiplication and division operations in order from left to right. Finally, I compared the resulting values to determine the order.