Question

Include one expression that contains rational exponents that can be simplified further. Provide the simplified form to your instructor.

Include one expression that contains radicals that can be simplified further. Provide the simplified form to your instructor.

Answer 1

Answer: ...

To solve the first part Let us assume a expression (E) that contains rational exponents:

E = 6² / ( 9 × 3 )

E = 6² / ( (3²) × 3 )

E = 6² / ( 3 × 3 )

E = 6² / 3

E = 6² / 3³

E = 36/27 = 4/3

E = 4/3

To solve the second part Let us assume a expression (F) that contains radicals:

F = 10 × √(∛(59 +5))

F = 10 × √(∛64)

F = 10 × √(∛(4×4×4))

F = 10 × √4

F = 10 × √(2×2)

F = 10 × 2

F = 20

Thus we have simplified the expression that contains rational exponents and also the expression that contains radicals also.

I hope you understood and liked my explanation.