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Simplify. Assume all variables are positive.\newlines117s127s^{\frac{11}{7}} \cdot s^{\frac{12}{7}}\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______

Full solution

Q. Simplify. Assume all variables are positive.\newlines117s127s^{\frac{11}{7}} \cdot s^{\frac{12}{7}}\newlineWrite your answer in the form AA or AB\frac{A}{B}, where AA and BB are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.\newline______
  1. Identify Equation and Apply Property: Identify the equation and apply the property of exponents for multiplication, which states that when multiplying like bases, you add the exponents: s(a/b)×s(c/d)=s((a/b)+(c/d))s^{(a/b)} \times s^{(c/d)} = s^{((a/b) + (c/d))}.
  2. Add Exponents: Add the exponents 117\frac{11}{7} and 127\frac{12}{7}: (117)+(127)=11+127=237\left(\frac{11}{7}\right) + \left(\frac{12}{7}\right) = \frac{11 + 12}{7} = \frac{23}{7}.
  3. Write Final Expression: Write the final simplified expression using the sum of the exponents: s237s^{\frac{23}{7}}.

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