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Simplify. Assume all variables are positive.\newlines87s137s^{\frac{8}{7}} \cdot s^{\frac{13}{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______

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Q. Simplify. Assume all variables are positive.\newlines87s137s^{\frac{8}{7}} \cdot s^{\frac{13}{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 Property: Identify the equation and apply the property of exponents for multiplication.\newlineWhen multiplying two exponents with the same base, we add the exponents: am×an=am+na^m \times a^n = a^{m+n}.\newlines87×s137=s87+137s^{\frac{8}{7}} \times s^{\frac{13}{7}} = s^{\frac{8}{7} + \frac{13}{7}}.
  2. Add Exponents: Add the exponents. 87+137=(8+13)7=217.\frac{8}{7} + \frac{13}{7} = \frac{(8 + 13)}{7} = \frac{21}{7}.
  3. Simplify Exponent: Simplify the exponent. 217=3\frac{21}{7} = 3.
  4. Write Final Answer: Write the final answer using the simplified exponent. s217=s3s^{\frac{21}{7}} = s^3.

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