Question

Challenge  Is the value of the expression left parenthesis StartFraction 1 Over 2 Superscript negative 3 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
▼
greater than 1.
equal to 1.
less than 1.

Answer 1

Compute inside: 2^{-3} = 1/8, so 1/(2^{-3}) = 8. Then 8^0 = 1.

So the value equals 1.

One change that makes it not equal to 1: change the exponent 0 to 1, giving (1/2^{-3})^1 = 8. (Alternatively, add a minus sign in front: −(1/2^{-3})^0 = −1.)