Question

Simplify (27)^⅔ x(125)^⅓​

Answer 1

Answer:

(27)⅔=(3×3×3)⅔=(3³)⅔=3²=9

(125)⅓= (5×5×5)⅓=(5³)⅓=5¹=5

(27)⅔×(125)⅓=9×5=45

Answer 2

Answer:

27 = 3*3*3 = 3³

Therefore, (27)³ = (3³)²/³

                           = 3³*²/³

                            = 3²

                            = 9

125 = 5*5*5 = 5³

Therefore, (125)¹/³ = (5³)¹/³

                              = 5³*¹/³

                              = 5¹

                               = 5

[ (125)¹/³ is ∛125 = 5 ]

9*5 = 45 - answer