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Commutative Property of Addition
a + b = b + a

Commutative Property of Multiplication
a • b = b • a

Associative Property of Addition
a + ( b + c ) = ( a + b ) + c

Associative Property of Multiplication
a • ( b • c ) = ( a • b ) • c

Distributive Property
a • ( b + c ) = a • b + a • c

Additive Identity Property
a + 0 = a

Multiplicative Identity Property
a • 1 = a

Additive Inverse Property
a + ( a ) = 0

Multiplicative Inverse Property
a * (1/a) = 1
Note: a cannot = 0


Add: [2^(1/3)] + [5^(1/3)]
7^(1/3)

5^(1/3) + 2^(1/75)
 1. Are the radicals the same? Answer: NO
 2. Can we simplify either radical?
 Answer: Yes, 2^(1/75) can be simplified.
 3. Simplify the radical.
 Answer:
 2^(1/75)
 2^(1/25)*(1/3)
 2*5 + 2^(1/3)
 10 + 2^(1/3)
 4. Now, the radicals are the
 same and we can add.
 10 + 2^(1/3) + 5^(1/3)
 Answer:
 10 + 7^(1/3)

