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Count factors before using the shortcut - Online practice 1

Read the information, then answer the questions. An adult may read the instructions aloud. Show your working where asked.

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Use non-zero base a. In this notation ^ means 'to the power of'. Multiplying same-base powers combines repeated factors; dividing cancels factors. Compare a^2 x a^3, a^5 / a^2, and the DIFFERENT operation a^2 + a^3. Addition does not use the multiplication index law.

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  1. Simplify a^2 x a^3 and explain using repeated factors.
  2. Simplify a^5 / a^2. Why require a to be non-zero?
  3. Test the false claim a^2 + a^3 = a^5 using a = 2.

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