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Simplify. Assume all variables are positive.\newlinex45×x145x^{\frac{4}{5}} \times x^{\frac{14}{5}}\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.\newlinex45×x145x^{\frac{4}{5}} \times x^{\frac{14}{5}}\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 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: \newlineam×an=a(m+n)a^m \times a^n = a^{(m+n)}\newlinex45×x145=x45+145x^{\frac{4}{5}} \times x^{\frac{14}{5}} = x^{\frac{4}{5} + \frac{14}{5}}
  2. Add Exponents: Add the exponents.\newline45+145=(4+14)5\frac{4}{5} + \frac{14}{5} = \frac{(4 + 14)}{5}\newline45+145=185\frac{4}{5} + \frac{14}{5} = \frac{18}{5}
  3. Write Final Expression: Write the final expression with the combined exponent.\newlinex45×x145=x185x^{\frac{4}{5}} \times x^{\frac{14}{5}} = x^{\frac{18}{5}}

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