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Exponents- Product Rule Demo

Exponents- Product Rule Demo
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2017-11-21 23:00
FunctionTrigonometryGraphing
This example demonstrates the product rule of exponents through geometric and algebraic representations. Key math concepts include exponent rules, function graph transformations, and interactive sliders. It uses commands like Text, If, Translate, Sequence, and objects such as expX1, expY1 to visualize the rule dynamically. Ideal for high school mathematics education to understand exponent properties and operations.

GeoGebra Commands & Parameters

  1. Text("y") → text4
  2. Text("y") → text6
  3. Text("x") → text5
  4. Text(expX1 + "") → text8
  5. Text(expX2 + "") → text9
  6. Text(expY1 + "") → text10
  7. Text(expY2 + "") → text11
  8. If(color, 255, 0) → factorColor255
  9. If(color, 153, 0) → factorColor153
  10. Text("x") → text3
  11. If(expX1 - expX2 ≟ 0 ∧ expY1 - expY2 ≟ 0, 1, 0) → zeros
  12. Translate((6.923609046978582, -1.782455570499752), Vector[(0, 0), (0, -3)]) → A
  13. Translate((6.923609046978582, 0.217544429500248), Vector[(0, 0), (0, -3)]) → B
  14. Translate((7.524258469913336, 0.217544429500248), Vector[(0, 0), (0, -3)]) → C
  15. Translate((7.524258469913336, -1.782455570499752), Vector[(0, 0), (0, -3)]) → D
  16. Sequence(Translate[xtop, Vector[(1.5, 0), ((0.65 * i), 0)]], i, 0, expX1 + expX2 - 1) → ExpandXtop
  17. Sequence(Translate[ytop, Vector[(0, 0), ((0.65 * i), 0)]], i, 0, expY1 + expY2 - 1) → ExpandYtop