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Simplify. Assume all variables are positive.\newlinet53t53t^{\frac{5}{3}} \cdot t^{\frac{5}{3}}\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.\newlinet53t53t^{\frac{5}{3}} \cdot t^{\frac{5}{3}}\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 and Apply Property: Identify the equation and apply the property of multiplying powers with the same base: am×an=am+na^m \times a^n = a^{m+n}. t53×t53=t53+53t^{\frac{5}{3}} \times t^{\frac{5}{3}} = t^{\frac{5}{3} + \frac{5}{3}}
  2. Add Exponents: Add the exponents, since the bases are the same. 53+53=103\frac{5}{3} + \frac{5}{3} = \frac{10}{3}
  3. Write Final Answer: Write the final answer with the combined exponent. t103t^{\frac{10}{3}}

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