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Jun 10 Rules of Exponents, Part 2: Roots

On our way to simplifying this terrible gibberish:

$$\frac{3x^{9}\sqrt{72x^{18}y^{9}}}{4x^{5}y^{7}\sqrt{50x^{21}z^{7}}}$$

The second installment on my series on rules of exponents is right here.