Put the simplified expressions in order on the number line from least to greatest.
(-2)^-8*(-2)^11
(1/2)^-3
2^6-2^4/2^2
1/4^-2
To simplify the expressions:
(-2)^-8 * (-2)^11 = (-1/2) * (-2048) = 1024
(1/2)^-3 = 2^3 = 8
2^6 - 2^4 / 2^2 = 64 - 4 / 4 = 60 / 4 = 15
1/4^-2 = 4^2 = 16
So, in order from least to greatest:
1/4^-2, 2^6 - 2^4/2^2, (-2)^-8 * (-2)^11, (1/2)^-3
16, 15, 1024, 8
ARE YOU SURE
Apologies for the mistake. Let me correct myself:
(-2)^-8 * (-2)^11 = (-1/256) * (-2048) = 512
(1/2)^-3 = 2^3 = 8
2^6 - 2^4 / 2^2 = 64 - 16 / 4 = 64 - 4 = 60
1/4^-2 = 4^2 = 16
So, in order from least to greatest:
1/4^-2, 2^6 - 2^4/2^2, (-2)^-8 * (-2)^11, (1/2)^-3
16, 60, 512, 8
I apologize for the earlier mistake.