Simplify. Assume all variables are positive. w^(1/3)/(w^(8/3) * w^(5/3)) 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^(8/3) * w^(5/3))   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. ______

Bytelearn · Accepted Answer

Write Given Expression: Write down the given expression. We have the expression w^(1/3)/(w^(8/3) * w^(5/3)).Combine Exponents in Denominator: Combine the exponents in the denominator using the property of exponents that states when you multiply like bases, you add the exponents. w^(8/3) * w^(5/3) = w^(8/3 + 5/3) = w^(13/3).Rewrite Expression: Rewrite the original expression with the combined exponent in the denominator. The expression now is w^(1/3) / w^(13/3).Apply Exponent Property: Apply the property of exponents that states when you divide like bases, you subtract the exponents. w^(1/3) / w^(13/3) = w^(1/3 - 13/3) = w^(-12/3).Simplify Exponent: Simplify the exponent. w^(-12/3) = w^(-4).Rewrite with Positive Exponent: Since we want only positive exponents, we can rewrite w^(-4) as 1/w^4.

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