Given the following list of expressions: -2^3, -2^-2, and (-3)^3
a. Evaluate each expression.
b. Order the expressions from least to greatest
a. Evaluating each expression:
-2^3 = -8 (first, we compute the exponent: -2^3 = -2 * -2 * -2 = -8)
-2^-2 = -(1/2)^2 = -(1/4) = -0.25 (first, we compute the exponent: -2^-2 = -1/(2^2) = -1/4 = -0.25)
(-3)^3 = -3 * -3 * -3 = -27
b. Ordering the expressions from least to greatest:
-2^-2 = -0.25
-2^3 = -8
(-3)^3 = -27