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Simplify. Assume all variables are positive.\newlinec34c94c^{\frac{3}{4}} \cdot c^{\frac{9}{4}}\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______\newline

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Q. Simplify. Assume all variables are positive.\newlinec34c94c^{\frac{3}{4}} \cdot c^{\frac{9}{4}}\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______\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: \newlinec34×c94=c34+94c^{\frac{3}{4}} \times c^{\frac{9}{4}} = c^{\frac{3}{4} + \frac{9}{4}}
  2. Add Exponents: Add the exponents. 34+94=124\frac{3}{4} + \frac{9}{4} = \frac{12}{4}
  3. Simplify Fraction: Simplify the fraction 124\frac{12}{4}.\newline124=3\frac{12}{4} = 3
  4. Write Final Expression: Write the final expression using the simplified exponent. c124=c3c^{\frac{12}{4}} = c^3

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