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Solution assignment 07 Rules for exponents

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Assignment 7

Simplify:

[-(-xy^3)^{-3}(x^6y^6)^2]^3

Solution

We remove the parentheses from inside to outside and use the rules for exponents:

[-(-xy^3)^{-3}(x^6y^6)^2]^3=[-((-1)^{-3}x^{-3}y^{-9})(x^{12}y^{12})]^3=[x^9y^3]^3=x^{27}y^9

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