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Simplify. Assume all variables are positive.\newlinew17w27w^{\frac{1}{7}} \cdot w^{\frac{2}{7}}\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.\newlinew17w27w^{\frac{1}{7}} \cdot w^{\frac{2}{7}}\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 expression: Identify the expression to simplify.\newlineWe have the expression w1/7×w2/7w^{1/7} \times w^{2/7} and we need to simplify it.
  2. Apply product rule: Apply the product rule for exponents.\newlineThe product rule states that when multiplying two powers with the same base, you add the exponents: am×an=am+na^m \times a^n = a^{m+n}.\newlineSo, w17×w27=w17+27w^{\frac{1}{7}} \times w^{\frac{2}{7}} = w^{\frac{1}{7} + \frac{2}{7}}.
  3. Add exponents: Add the exponents.\newlineWe add the fractions 17\frac{1}{7} and 27\frac{2}{7}.\newline17+27=37\frac{1}{7} + \frac{2}{7} = \frac{3}{7}.
  4. Write final expression: Write the final simplified expression.\newlineThe expression w1/7×w2/7w^{1/7} \times w^{2/7} simplifies to w3/7w^{3/7}.

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