hey guy could somebody help me to solve this :

is the binary operation * defined for real numbers x,y by x*y=x^2y^2

is it commutative? is it associative?

thank you

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- Oct 15th 2008, 12:01 PMboomshine57thBinary operations?
hey guy could somebody help me to solve this :

is the binary operation * defined for real numbers x,y by x*y=x^2y^2

is it commutative? is it associative?

thank you - Oct 15th 2008, 01:03 PMSoroban
Hello, boomshine57th!

Quote:

Is the binary operation defined for real numbers by: . ?

If are any real numbers, then: . is a real number.

The operationdefined for real numbers.*is*

Quote:

Is it commutative?

If the operation is commutative, then: .

We have: .

Since , the operationcommutative.*is*

Quote:

Is it associative?

If the operation is associative, then: .

We have: . not equal

The operation isassociative.*not*

- Oct 15th 2008, 01:26 PMboomshine57ththank you
thank you soooo much! you are a life saver (Happy)