Question

I need these from least to greatest A.11^4/11^11 B.1/11^-4 C.(11^-3)^-3 D.11^5•11^2

this is for 30 points

Answer 1

A.11^4/11^11

Explanation:

Answer 2

`\frac{ {11}^(4) }{ {11}^(11) } < \frac{1}{ {11}^( - 4) } < {11}^(5) . {11}^(2) < ( {11}^( - 3) )^( - 3)`

Explanation:

`A) \frac{ {11}^(4) }{ {11}^(11) } = {11}^(4 - 11) = {11}^( - 7) \\ \\ B)\frac{1}{ {11}^( - 4) } = {11}^(4) \\ \\C) ( {11}^( - 3) )^( - 3) = {11}^( - 3( - 3)) = {11}^(9) \\ \\ D){11}^(5) . {11}^(2) = {11}^(5 + 2) = {11}^(7) \\ \\ \because \: {11}^( - 7) < {11}^(4) < {11}^(7) < {11}^(9) \\ \\ \therefore \: \frac{ {11}^(4) }{ {11}^(11) } < \frac{1}{ {11}^( - 4) } < {11}^(5) . {11}^(2) < ( {11}^( - 3) )^( - 3)`