Express the following numbers as prime factors in index form: a) 2646

Here are the solutions to your questions:

1. Express the following numbers as prime factors in index form.

• a) 2646

  Step 1: Divide by prime factors.

  $$2646 = 2 \times 1323$$ $$1323 = 3 \times 441$$ $$441 = 3 \times 147$$ $$147 = 3 \times 49$$ $$49 = 7 \times 7 = 7^2$$

  Step 2: Combine the prime factors.

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