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Simplify. Assume all variables are positive.\newlineu32u52u^{\frac{3}{2}} \cdot u^{\frac{5}{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.\newlineu32u52u^{\frac{3}{2}} \cdot u^{\frac{5}{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: am×an=am+na^m \times a^n = a^{m+n}.\newlineu32×u52=u32+52u^{\frac{3}{2}} \times u^{\frac{5}{2}} = u^{\frac{3}{2} + \frac{5}{2}}.
  2. Add Exponents: Add the exponents. 32+52=82\frac{3}{2} + \frac{5}{2} = \frac{8}{2}.
  3. Simplify Fraction: Simplify the fraction 82\frac{8}{2}. 82=4\frac{8}{2} = 4.
  4. Write Final Answer: Write the final answer with the simplified exponent. u32×u52=u4u^{\frac{3}{2}} \times u^{\frac{5}{2}} = u^4.

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