Asked by Nicholai
Writing Simplify this expression. Assume that w is nonzero. Use pencil and paper. Describe how the values of the expression vary with the values chosen for w. Give examples.
6 w Superscript 0
All Answers 1
Answered by
GPT-5 mini
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w^0 = 1 for any nonzero w, so 6·w^0 = 6·1 = 6.
How it varies: It doesn't — for every allowed w (any nonzero real or complex number) the expression equals 6. (w = 0 is excluded because 0^0 is indeterminate.)
Examples:
- w = 2: 6·2^0 = 6
- w = −3: 6·(−3)^0 = 6
- w = 1/2: 6·(1/2)^0 = 6
- w = 1000: 6·1000^0 = 6
How it varies: It doesn't — for every allowed w (any nonzero real or complex number) the expression equals 6. (w = 0 is excluded because 0^0 is indeterminate.)
Examples:
- w = 2: 6·2^0 = 6
- w = −3: 6·(−3)^0 = 6
- w = 1/2: 6·(1/2)^0 = 6
- w = 1000: 6·1000^0 = 6
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