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Simplify. Assume all variables are positive.\newliner43⋅r73r^{\frac{4}{3}} \cdot r^{\frac{7}{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______

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Q. Simplify. Assume all variables are positive.\newliner43⋅r73r^{\frac{4}{3}} \cdot r^{\frac{7}{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______
  1. Identify Equation: Identify the equation and apply the product of powers property.\newlineThe product of powers property states that when multiplying like bases, you add the exponents: am×an=am+na^m \times a^n = a^{m+n}.\newlineSo, r43×r73=r43+73r^{\frac{4}{3}} \times r^{\frac{7}{3}} = r^{\frac{4}{3} + \frac{7}{3}}.
  2. Apply Product of Powers: Add the exponents.\newline43+73=(4+7)3=113\frac{4}{3} + \frac{7}{3} = \frac{(4 + 7)}{3} = \frac{11}{3}.\newlineSo, r43∗r73=r113r^{\frac{4}{3}} * r^{\frac{7}{3}} = r^{\frac{11}{3}}.
  3. Add Exponents: Write the final 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, and all exponents are positive.\newlineThe final answer is r113r^{\frac{11}{3}}, which is already in the correct form.

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