Simplify. Assume all variables are positive. s^(3/2)/(s^(5/2) * s^(1/2)) 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. s^(3/2)/(s^(5/2) * s^(1/2))   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

Identify Given Expression: Identify the given expression and the rule for dividing exponents with the same base. The expression is s^(3/2) / (s^(5/2) * s^(1/2)). When dividing exponents with the same base, we subtract the exponents.Apply Division Rule: Apply the rule for dividing exponents to the given expression. s^(3/2) / (s^(5/2) * s^(1/2)) = s^(3/2) / s^(5/2 + 1/2)Add Exponents: Add the exponents in the denominator. 5/2 + 1/2 = 6/2 s^(3/2) / s^(5/2 + 1/2) = s^(3/2) / s^(6/2)Simplify Denominator: Simplify the exponent in the denominator. 6/2 = 3 s^(3/2) / s^(6/2) = s^(3/2) / s^3Subtract Exponents: Subtract the exponents in the numerator and the denominator. 3/2 - 3 = 3/2 - 6/2 = -3/2 s^(3/2) / s^3 = s^(3/2 - 3) = s^(-3/2)Rewrite with Positive Exponent: Since the problem asks for positive exponents, rewrite the expression with a positive exponent. s^(-3/2) = 1 / s^(3/2)

Full solution

More problems from Simplify expressions involving rational exponents

Related topics