Simplify. Assume all variables are positive. s^(7/6)/s^(5/6) 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^(7/6)/s^(5/6)   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 Expression: Identify the expression to simplify. We have the expression s^(7/6) / s^(5/6) and we need to simplify it.Apply Quotient Rule: Apply the quotient rule for exponents. The quotient rule states that when we divide two expressions with the same base, we subtract the exponents: a^m / a^n = a^(m-n). So, s^(7/6) / s^(5/6) = s^(7/6 - 5/6).Perform Subtraction: Perform the subtraction of the exponents. Subtract the exponents: 7/6 - 5/6 = (7 - 5)/6 = 2/6.Simplify Fraction: Simplify the fraction 2/6. The fraction 2/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 2/6 simplifies to 1/3.Write Final Expression: Write the final simplified expression. The expression s^(7/6) / s^(5/6) simplifies to s^(1/3).

Full solution

More problems from Simplify expressions involving rational exponents

Related topics