Order these from least to greatest

Question

* 2^6-2^4/2^2
* (-2)^-8 . (-2)^11
* (1/2)^-3
*1/4^-2

Answer 1

To order these expressions from least to greatest, we will simplify each expression:

1. 2^6 - 2^4 / 2^2 = 64 - 16 / 4 = 64 - 4 = 60

2. (-2)^-8 . (-2)^11 = 1 / (-2)^8 . (-2)^11 = 1 / 256 . (-2048) = -524,288

3. (1/2)^-3 = 2^3 = 8

4. 1/4^-2 = 1 / (1/4)^2 = 1 / (1/16) = 16

Now, let's order these expressions from least to greatest:

-524,288 < 8 < 60 < 16