How is y=(1/3)^3 equal to 3^-1

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They are not equal to each other. You need to review the rule of exponents. 3^(-1) = 1/(3^-1) = 1/3 y = (1/3)^3 = 1/(3^3) = 1/27 See my point? Now, if you take the cube root of 1/27, the answer is 1/3 = 3 to the negative 1 power.