How do you simplify #(3u^{2} v^{2} )^{2}#?

1 Answer
Lil Del
Oct 7, 2016

#9u^4v^4#

Explanation:

Two properties of exponents are combined in this problem. The Power of a Product Property states that if a product is raised to a power, then all factors must be individually raised to that power.
#(ab)^n = a^nb^n#
The Power of a Power Property states that if a power expression is raised to another power, the base remains the same and the powers are multiplied.
#(a^n)^m = a^(nm)#
Applying these two properties yields the simplified expression:
#(3u^2v^2)^2#
#3^2u^(2*2)v^(2*2)#
#9u^4v^4#

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