Put the simplified expressions in order on the number line from least to greatest.
2^6-2^4/2^2
1/4^-2
(1/2)^-3
(-2)^-8.(-2)^11
First, simplify each expression:
2^6 - 2^4 / 2^2 = 64 - 16 / 4 = 64 - 4 = 60
1 / 4^-2 = 1 / (1/16) = 16
(1/2)^-3 = 2^3 = 8
(-2)^-8 * (-2)^11 = 1 / (-2)^8 * (-2)^11 = 1 / (-2)^4 = 1 / 16
Now, place these simplified expressions on the number line from least to greatest:
16, 60, 8, 1/16
Therefore, the order from least to greatest is:
1/16, 8, 16, 60