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Evaluate each power.
a. (−7)0 b. (43)0 c. 10 d. (0.5)0
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Why is 2(70) = 2?
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a. (−7)^0 = 1
b. (43)^0 = 1
c. 10^0 = 1
d. (0.5)^0 = 1
Reason: For any nonzero number a, a^m / a^m = a^(m−m) = a^0, but a^m / a^m = 1, so a^0 = 1.
Example: 7^1 = 7 and 7^0 = 7/7 = 1, so 2(7^0) = 2·1 = 2.
(As a note: 0^0 is undefined/indeterminate.)
b. (43)^0 = 1
c. 10^0 = 1
d. (0.5)^0 = 1
Reason: For any nonzero number a, a^m / a^m = a^(m−m) = a^0, but a^m / a^m = 1, so a^0 = 1.
Example: 7^1 = 7 and 7^0 = 7/7 = 1, so 2(7^0) = 2·1 = 2.
(As a note: 0^0 is undefined/indeterminate.)
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