Question

Compare each set of expressions below.
Select options below
10^-3

<

4^0
−
3^-2

Choose...

5^-3

(-2)^2

Choose...

2^-2
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Answer 1

Here are the comparisons with values:

1) 10^-3 = 0.001 and 4^0 = 1, so 10^-3 < 4^0.

2) −3^-2 = −(1/9) ≈ −0.111... and 5^-3 = 1/125 = 0.008, so −3^-2 < 5^-3.

3) (−2)^2 = 4 and 2^-2 = 1/4 = 0.25, so (−2)^2 > 2^-2.