For all numbers x and y and integers n,

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.



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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