Simplify the expression (3x^2 y^3 )^(-2)

Assume that denominators are not zero

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A power to the negative simply tells you that the base needs to be divided so in other words x^-2 means that the x should be a denominator thus = 1/ x^2. Note how the negative (-) is no longer relavant. It is NOT a negative symbol but indicates that you must use the rules of exponents to solve it. Hence, and remembering that 3 is also to a power of -2:

**(3x^2 y^3) ^ -2 = 1/ 9 x^4 y^6 **

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