Simplify. Assume all variables are positive. t^(11/6) * t^(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. t^(11/6) * t^(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 Equation & Apply Property: Identify the equation and apply the property of exponents for multiplication. When multiplying two exponents with the same base, we add the exponents:  t^(a/b) * t^(c/d) = t^((a/b) + (c/d))Add Exponents: Add the exponents (11/6) and (5/6). (11/6) + (5/6) = (11 + 5) / 6Perform Addition: Perform the addition in the numerator. 11 + 5 = 16Write Result as Single Exponent: Write the result as a single exponent. t^(11/6) * t^(5/6) = t^(16/6)Simplify Exponent: Simplify the exponent if possible. 16/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. 16/6 = (16/2) / (6/2) = 8/3Write Final Answer: Write the final answer with the simplified exponent. t^(11/6) * t^(5/6) = t^(8/3)

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