Question

Challenge  Is the value of the expression left parenthesis StartFraction 1 Over 3 Superscript negative 2 EndFraction right parenthesis Superscript 0
greater than​ 1, equal to​ 1, or less than​ 1? Use pencil and paper. If the value of the expression is greater than​ 1, show how you can change one sign to make the value less than 1. If the value is less than​ 1, show how you can change one sign to make the value greater than 1. If the value is equal to​ 1, show how you can make one change to make the value not equal to 1.
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Part 1
The value of the expression is
less than 1.

Answer 1

That's not correct — the expression equals 1.

Work:
1/3^(−2) = 3^2 = 9, so (1/3^(−2))^0 = 9^0 = 1 (any nonzero number to the 0 power is 1).

One simple one-step change to make the value not equal to 1: change the outer exponent 0 to 1. Then (1/3^(−2))^1 = 9 ≠ 1.