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Simplify. Assume all variables are positive.\newlinec52c32c^{\frac{5}{2}} \cdot c^{\frac{3}{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.\newlinec52c32c^{\frac{5}{2}} \cdot c^{\frac{3}{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: \newlinec52c32=c(52+32)c^{\frac{5}{2}} \cdot c^{\frac{3}{2}} = c^{\left( \frac{5}{2} + \frac{3}{2} \right)}
  2. Perform Exponent Addition: Perform the addition of the exponents. (52)+(32)=82(\frac{5}{2}) + (\frac{3}{2}) = \frac{8}{2}
  3. Simplify Fraction: Simplify the fraction 82\frac{8}{2}. 82=4\frac{8}{2} = 4
  4. Write Final Expression: Write the final expression using the simplified exponent. c52×c32=c4c^{\frac{5}{2}} \times c^{\frac{3}{2}} = c^4

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