Simplify. Assume all variables are positive. u^(1/3)/(u^(7/3) * u^(4/3)) 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. ______

Question

Simplify.  Assume all variables are positive. u^(1/3)/(u^(7/3) * u^(4/3))   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

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. u^(7/3) * u^(4/3) = u^(7/3 + 4/3)Add exponents in denominator: Add the exponents in the denominator. 7/3 + 4/3 = 11/3 So, u^(7/3) * u^(4/3) = u^(11/3)Rewrite with combined exponent: Rewrite the original expression with the combined exponent in the denominator. u^(1/3) / (u^(11/3))Apply property of exponents: Apply the property of exponents that states when you divide like bases, you subtract the exponents. u^(1/3) / u^(11/3) = u^(1/3 - 11/3)Subtract exponents: Subtract the exponents. 1/3 - 11/3 = -10/3 So, u^(1/3) / u^(11/3) = u^(-10/3)Rewrite as positive exponent: Since we want the exponent to be positive, we can rewrite u^(-10/3) as 1/u^(10/3).

Full solution

More problems from Simplify expressions involving rational exponents

Related topics