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Simplify. Assume all variables are positive.\newlines32s12s^{\frac{3}{2}} \cdot s^{\frac{1}{2}}\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.\newlines32s12s^{\frac{3}{2}} \cdot s^{\frac{1}{2}}\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.\newlineWhen multiplying two exponents with the same base, we add the exponents: \newlinesab×scd=s(ab+cd)s^{\frac{a}{b}} \times s^{\frac{c}{d}} = s^{\left(\frac{a}{b} + \frac{c}{d}\right)}
  2. Add Exponents: Add the exponents (32)(\frac{3}{2}) and (12)(\frac{1}{2}).32+12=3+12=42\frac{3}{2} + \frac{1}{2} = \frac{3 + 1}{2} = \frac{4}{2}
  3. Simplify Fraction: Simplify the fraction 42\frac{4}{2}. 42=2\frac{4}{2} = 2
  4. Write Final Answer: Write the final answer using the simplified exponent.\newlines42=s2s^{\frac{4}{2}} = s^2

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