Perform several mathematic operations
Dyalog APL, 15 bytes

Takes x as left argument and y as right argument.
+,×,*,-,-⍨,÷,÷⍨

Simply a long train of forks (3-trains):
+, the sum, followed by
×, the product, followed by
*, the exponentiation, followed by
-, the difference, followed by
-⍨, the swapped difference, followed by
÷, the ratio, followed by
÷⍨ the swapped ratio
TryAPL online!