Simplify. Assume all variables are positive. w^(1/3)/(w^(4/3) * w^(7/3)) Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

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Simplify.  Assume all variables are positive. w^(1/3)/(w^(4/3) * w^(7/3))   Write your answer in the form A or A/B, where A and B are constants or variable expressions that have no variables in common. All exponents in your answer should be positive. ______

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Write Expression and Combine Exponents: Write down the expression and combine the exponents in the denominator using the property of exponents that states when you multiply like bases, you add the exponents. Expression: w^(1/3)/(w^(4/3) * w^(7/3)) Combine exponents in the denominator: w^(4/3 + 7/3)Combine Exponents in Denominator: Add the exponents in the denominator. w^(4/3 + 7/3) = w^(11/3) Now the expression is: w^(1/3) / w^(11/3)Subtract Exponents in Numerator: Subtract the exponents in the numerator from the exponents in the denominator using the property of exponents that states when you divide like bases, you subtract the exponents. w^(1/3) / w^(11/3) = w^(1/3 - 11/3)Perform Subtraction: Perform the subtraction of the exponents. w^(1/3 - 11/3) = w^(-10/3)Convert Negative Exponent: Since we want the exponent to be positive and we're assuming all variables are positive, we can write the negative exponent as a reciprocal. w^(-10/3) = 1 / w^(10/3)

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