Simplify. Write in radical form. (x^3y^-2/xy)^-1/5
Mathematics · High School · Tue Nov 03 2020
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Basically rewrite the equation in a clearer equation, then simplify the inside equation which brings you to a non-fraction expression (((x^(3)y^(-2))/(xy))^(-(1)/(5))). Then simply multiply the exponent to each of the variables leaving x raised to a negative power and y to the positive power (x^(-(2)/(5))y^((3)/(5))). Move the variables with negative exponents on the denominator to make it positive then rewrite the variables in their radical form. The final answer is (\root(5)(y^(2)))/(\root(5)(x^(2))).