 # Raising A Product To A Power

## Explain Raising A Product To A Power

Before we move forward and learn about Raising A Product To A Power, be sure you understand the basics. Recommended reading: Exponents.
• An abstract example of raising products to a power is the following:
(VariableA × VariableB)Raised Power Exponent (P) equals VariableAP × VariableBP.
A real example: (5 × 3)2 equals (15)2 = 225. Or looked at another way: (5 × 3)2 equals 52 × 32 = 9 × 25 = 225.
• There is no way to combine the sum of two powers with the same base into one expression: (3 + 3)2 can not be combined.
However, the answer can be simplified: (9)2 equals 81. The same approach apply's to this variation of the problem: (3 + 2)2 equals (5)2 equals 25.
• There is no way to combine the difference of two powers with the same base into one expression: (5 - 5)2 can not be combined.
However, the answer can be simplified: (0)2 equals 0. The same approach apply's to this variation of the problem: (3 - 2)2 equals (1)2 equals 1.

Syntax Example