6. Simplify the expressions below. Write the final answers using positive exponents where appropriate. a) $\frac{6xy^{-4}}{2x^{-2}y^2}$ b) $(\frac{y^3}{3x^{-3}})^{-2}$ c) $(\frac{x^{-1}}{y^{-1}})^{-1}$
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We can simplify the numerical coefficients: $\frac{6}{2} = 3$. For the x terms, we use the rule $\frac{a^m}{a^n} = a^{m-n}$: $\frac{x^1}{x^{-2}} = x^{1 - (-2)} = x^{1+2} = x^3$. For the y terms, we use the rule $\frac{a^m}{a^n} = a^{m-n}$: $\frac{y^{-4}}{y^2} = Show more…
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