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Part 1
Multiple Representations Simplify this expression. Use pencil and paper. Write at least two expressions equivalent to this one. Explain why they are equivalent.
left parenthesis negative 1.6 right parenthesis Superscript 0
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Part 1
left parenthesis negative 1.6 right parenthesis Superscript 0equals
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(-1.6)^0 = 1
Two expressions equivalent to this:
- 1
- 10^0 (or any nonzero number raised to the 0 power, e.g. (-1.6)^5/(-1.6)^5)
Why: For any nonzero a, a^0 = a^n / a^n = a^{n-n} = a^0 = 1. Since -1.6 ≠ 0, (-1.6)^0 = 1.
Two expressions equivalent to this:
- 1
- 10^0 (or any nonzero number raised to the 0 power, e.g. (-1.6)^5/(-1.6)^5)
Why: For any nonzero a, a^0 = a^n / a^n = a^{n-n} = a^0 = 1. Since -1.6 ≠ 0, (-1.6)^0 = 1.
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