Simplify. Assume all variables are positive. s^(3/4) * s^(7/4) 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^(3/4) * s^(7/4)   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 be simplified. We have the expression s^(3/4) * s^(7/4) and we need to simplify it.Apply property of exponents: Apply the property of exponents for multiplying with the same base. When multiplying expressions with the same base, we add the exponents: a^m * a^n = a^(m+n). So, s^(3/4) * s^(7/4) = s^(3/4 + 7/4).Perform exponent addition: Perform the addition of the exponents. Add the fractions 3/4 and 7/4. 3/4 + 7/4 = 10/4.Simplify the exponent: Simplify the exponent. The fraction 10/4 can be simplified to 5/2 because 10 divided by 4 is 2 with a remainder of 2, which gives us 5/2. So, s^(3/4 + 7/4) = s^(10/4) = s^(5/2).Write final answer: Write the final answer. The simplified form of the expression is s^(5/2).

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