Question

Which of the numbers from (5 to the power 1/3), (3 to the power 1/2), o to the power
1/4) and (11 to the power 1/6) Is largest?
4 ste the power 13
B) 3 to the power 1/2
07 to the power 1/4
D) 11 to the power 176​

Answer 1

Answer:

${5}^{ \frac{1}{3} } \: \: {3}^{ \frac{1}{2} } \: \: {7}^{ \frac{1}{4} } \: \: {11}^{ \frac{1}{6} } \\ lcm \: of \: denominators \: of \: powers = 12 \\ the \: numbers \: are \: {5}^{ \frac{4}{12} } \: \: {3}^{ \frac{6}{12} } \: \: {7}^{ \frac{3}{12} } {11}^{ \frac{2}{12} } \\ that \: is \: {625}^{ \frac{1}{12} } \: \: {729}^{ \frac{1}{12} } \: \: {343}^{ \frac{1}{12} } \: \: {121}^{? \frac{1}{12} } \\ {729}^{\frac{1}{12} } is \: biggest \\ means \: {3}^{ \frac{1}{2} } is \: biggest$