Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Put these in order starting with the smallest.

Put These In Order Starting With The Smallest class=

Sagot :

xenia168

Answer:

Step-by-step explanation:

[tex]9^{\frac{3}{2} }[/tex] = ( √9 )³ = 27

[tex]27^{\frac{1}{3} }[/tex] = ∛27 = 3

[tex]125^{\frac{2}{3} }[/tex] = ( ∛125 )² = 25

[tex]27^{\frac{1}{3} }[/tex] , [tex]125^{\frac{2}{3} }[/tex] , [tex]9^{\frac{3}{2} }[/tex]

watsonultra2

Answer:

[tex] {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Step-by-step explanation:

[tex] {9}^{ \frac{3}{2} } = \sqrt[2]{ {9}^{3} } = \sqrt[2]{ {3}^{6} } = { 3}^{3} \\ {27}^{ \frac{1}{3} } = \sqrt[3]{27} = \sqrt[ 3]{ {3}^{3} } = 3 \\ {9}^{ \frac{3}{2} } > {27}^{ \frac{1}{ 3} } \\ \\ {125}^{ \frac{2}{3} } = \sqrt[3]{ {125}^{2} } = \sqrt[3]{ {5}^{6} } = 25 \\ \\ 3 < 25 < {3}^{3} \\ {27}^{ \frac{1}{3} } < {125} ^{ \frac{2}{3} } < {9}^{ \frac{3}{2} }[/tex]

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.