rule
For all numbers x and y and integers n,
ruleppro
ppropic

Each factor of the product gets raised to the new power!

Be sure to notice that this rule ONLY works when the inside of the parentheses is a single term (a product).

(no + signs or - signs
separating the items)

When in doubt, expand terms to see what is happening.

ppro1
ppro2

Examples:

1.  (5a)5 = 55a5 = 3125a5
Notice how the 5 inside the parentheses is also affected by the power of 5.

2.  (3a2)4 = 34(a2)4 = 34a8 = 81a8
Notice how the "power to a power" rule was used here to raise a2 to the power of 4.

3.  4(2x3)2 = 4•22(x3)2 = 4•4•x6 = 16x6
Notice that the number 4 out in front is not affected by the power of 2 since it is not within the parentheses.

 

4.  P = (2K)2W = 22K2W = 4K2W
Formulas often involve working with powers.

 

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